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Popular Calculus >

(dy)/(dt)=ty

Solution

\frac{d y}{d t} = t y

Solution

y = e^{\frac{t ^{2}}{2} + c_{1}}

Solution steps

\frac{d y}{d t} = t y

Solve separable ODE:

y = e^{\frac{t ^{2}}{2} + c_{1}}

y = e^{\frac{t ^{2}}{2} + c_{1}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=ty ?
The solution for (dy)/(dt)=ty is y=e^{(t^2)/2+c_{1}}