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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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