# Recent questions tagged initial

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What is a first order initial value problem?
What is a first order initial value problem?What is a first order initial value problem? ...
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Solve the initial value problem $\dot{y}=t^{n}$ with $y(0)=1$ and $n \geq 0$.
Solve the initial value problem $\dot{y}=t^{n}$ with $y(0)=1$ and $n \geq 0$.Solve the initial value problem $\dot{y}=t^{n}$ with $y(0)=1$ and $n \geq 0$. ...
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Solve $\dot{y}=\ln t$
Solve $\dot{y}=\ln t$Solve $\dot{y}=\ln t$ ...
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Find a non-constant solution of the initial value problem $\dot{y}=y^{1 / 3}, y(0)=0$, using separation of variables. Note that the constant function $y(t)=0$ also solves the initial value problem.Find a non-constant solution of the initial value problem $\dot{y}=y^{1 / 3}, y(0)=0$, using separation of variables. Note that the constant function ...
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A radioactive substance obeys the equation $\dot{y}=k y$ where $k<0$ and $y$ is the mass of the substance at time $t$. Suppose that initially, the mass of the substance is $y(0)=M>0 .$A radioactive substance obeys the equation $\dot{y}=k y$ where $k&lt;0$ and $y$ is the mass of the substance at time $t$. Suppose that initially, the ...
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Solve the initial value problems $\dot{y}+y \cos t=0, y(0)=1 / 2$ and $y(2)=1 / 2$.
Solve the initial value problems $\dot{y}+y \cos t=0, y(0)=1 / 2$ and $y(2)=1 / 2$. Solve the initial value problems $\dot{y}+y \cos t=0, y(0)=1 / 2$ and $y(2)=1 / 2$. ...
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Solve the initial value problem $t \dot{y}+3 y=0, y(1)=2$, assuming $t>0$.
Solve the initial value problem $t \dot{y}+3 y=0, y(1)=2$, assuming $t>0$. Solve the initial value problem $t \dot{y}+3 y=0, y(1)=2$, assuming $t&gt;0$. ...
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A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at $t=0$, find the amount of the element at time $t .$
A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at $t=0$, find the amount of the element at time $t .$A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at $t=0$, find the amount of the element at ...
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Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal angles, at least one of which is positive and one of which is negative.Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal an ...
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Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal angles, at least one of which is positive and one of which is negative.Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal an ...
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What is the difference between an initial side and a terminal side of an oriented angle?
What is the difference between an initial side and a terminal side of an oriented angle?What is the difference between an initial side and a terminal side of an oriented angle? ...
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The statement 'Heat lost by the hot body equals that gained by the cold one' is assumed when determining specific that heat capacity by the method of mixtures. Which of the following validates the assumption? The statement &#39;Heat lost by the hot body equals that gained by the cold one&#39; is assumed when determining specific that heat capacity by the ...
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Separable equations. Solve the following initial value problems.
Separable equations. Solve the following initial value problems.Separable equations. Solve the following initial value problems. (a) $y^{\prime}=x^{3}(1-y), \quad y(0)=3$; (b) $d y / d \theta=y \sin \theta, \quad ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve this initial value problem 1 answer 31 views Solve this initial value problemSolve this initial value problem$\dfrac{1}{y} d y+y e^{\cos (x)} \sin (x) d x=0, \quad y(0)=2$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the initial value problem: 1 answer 32 views Solve the initial value problem:Solve the &nbsp;initial value problem:$\dfrac{d y}{d x}-\dfrac{2 y}{x}=\dfrac{1}{x^{2}}, \quad y(1)=3$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the following initial value problem: 1 answer 44 views Solve the following initial value problem:Solve the following initial value problem:$$\cos (x) \frac{d y}{d x}+y \sin (x)=2 x \cos ^{2}(x), \quad y\left(\frac{\pi}{4}\right)=-\frac{15 \sqrt ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The equation$f(x)$is given as$x^{2}-4=0$. Considering the initial approximation at$x=6$then the value of next approximation correct upto 2 decimal places is given as 1 answer 1.4K views The equation$f(x)$is given as$x^{2}-4=0$. Considering the initial approximation at$x=6$then the value of next approximation correct upto 2 decimal places is given asThe equation$f(x)$is given as$x^{2}-4=0$. Considering the initial approximation at$x=6$then the value of next approximation correct upto 2 decima ... close 1 answer 282 views The equation$f(x)$is given as$x^{3}-x^{2}+4 x-4=0$. Considering the initial approximation at$x=2$then the value of next approximation correct upto 2 decimal places is given asThe equation$f(x)$is given as$x^{3}-x^{2}+4 x-4=0$. Considering the initial approximation at$x=2$then the value of next approximation correct upt ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Is there a way to define$f(c)$for the for the following function so that$f(x)$is continuous at$x=\mathrm{c}$?$f(x)=\dfrac{x^{2}-16}{x-4}$at$c=4$1 answer 51 views Is there a way to define$f(c)$for the for the following function so that$f(x)$is continuous at$x=\mathrm{c}$?$f(x)=\dfrac{x^{2}-16}{x-4}$at$c=4$Is there a way to define$f(c)$for the for the following function so that$f(x)$is continuous at$x=\mathrm{c}$?$f(x)=\dfrac{x^{2}-16}{x-4}$at$c ...
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Is $f(x)=\frac{x^{2}-16}{x-4}$ continuous at $x=4$ ?
Is $f(x)=\frac{x^{2}-16}{x-4}$ continuous at $x=4$ ?Is $f(x)=\frac{x^{2}-16}{x-4}$ continuous at $x=4$ ? ...
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Is $f(x)=x^{3}+2 x+1$ continuous at $x=2 ?$
Is $f(x)=x^{3}+2 x+1$ continuous at $x=2 ?$Is $f(x)=x^{3}+2 x+1$ continuous at $x=2 ?$ ...
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Given: $f(x)=2 x^{3}-2 x^{2}+4 x-1$. Determine the interval on which $f$ is concave Up.
Given: $f(x)=2 x^{3}-2 x^{2}+4 x-1$. Determine the interval on which $f$ is concave Up.Given: $f(x)=2 x^{3}-2 x^{2}+4 x-1$. Determine the interval on which $f$ is concave Up. ...
The equation $f(x)$ is given as $x^{3}+4 x+1=0$. Considering the initial approximation at $x=1$ then the value of $\mathrm{x}_{1}$ is given as
The equation $f(x)$ is given as $x^{3}+4 x+1=0$. Considering the initial approximation at $x=1$ then the value of $\mathrm{x}_{1}$ is given asThe equation $f(x)$ is given as $x^{3}+4 x+1=0$. Considering the initial approximation at $x=1$ then the value of $\mathrm{x}_{1}$ is given as a) $1.6 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The convergence of which of the following method depends on initial assumed value? 1 answer 1.8K views The convergence of which of the following method depends on initial assumed value?The convergence of which of the following method depends on initial assumed value? a) False position b) Gauss Seidel method c) Newton Raphson method d ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What are the new clusters and what are their centroids? 1 answer 79 views What are the new clusters and what are their centroids? Assume the following dataset is given:$(2,2), (4,4), (5,5), (6,6),(9,9) (0,4), (4,0) $. K-Means is run with$k=3\$ to cluster the dataset. Moreover, ...