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Popular >

3(dy)/(dt)=y-t^2y

Solution

3 \frac{d y}{d t} = y - t^{2} y

Solution

y = e^{\frac{t}{3} - \frac{t ^{3}}{9} + c_{1}}

Solution steps

3 \frac{d y}{d t} = y - t^{2} y

Solve separable ODE:

y = e^{\frac{t}{3} - \frac{t ^{3}}{9} + c_{1}}

y = e^{\frac{t}{3} - \frac{t ^{3}}{9} + c_{1}}

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Frequently Asked Questions (FAQ)

What is the solution for 3(dy)/(dt)=y-t^2y ?
The solution for 3(dy)/(dt)=y-t^2y is y=e^{t/3-(t^3)/9+c_{1}}