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Popular Calculus >

y^'=y(3t-30)

Solution

y^{^{'}} = y (3 t - 30)

Solution

y = e^{\frac{3 t ^{2}}{2} - 30 t + c_{1}}

Solution steps

y^{'} (t) = y (3 t - 30)

Solve separable ODE:

y = e^{\frac{3 t ^{2}}{2} - 30 t + c_{1}}

y = e^{\frac{3 t ^{2}}{2} - 30 t + c_{1}}

Graph

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ye^x(dy)/(dx)=e^{-y}+e^{-2x-y}

Frequently Asked Questions (FAQ)

What is the solution for y^'=y(3t-30) ?
The solution for y^'=y(3t-30) is y=e^{(3t^2)/2-30t+c_{1}}