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Popular >

(dy)/(dt)=4yt^2

Solution

\frac{d y}{d t} = 4 y t^{2}

Solution

y = e^{\frac{4 t ^{3}}{3} + c_{1}}

Solution steps

\frac{d y}{d t} = 4 y t^{2}

Solve separable ODE:

y = e^{\frac{4 t ^{3}}{3} + c_{1}}

y = e^{\frac{4 t ^{3}}{3} + c_{1}}

Popular Examples

(e^y+21)^2e^{-y}dx+(e^x+1)^3e^{-x}dy=0

(e^{y} + 21)^{2} e^{- y} d x + (e^{x} + 1)^{3} e^{- x} d y = 0

(1+x^2)y^'+xy=0

(1 + x^{2}) y^{^{'}} + x y = 0

(dp)/(dx)=p-p^2

\frac{d p}{d x} = p - p^{2}

(dy)/(dx)=x+2xy,y(0)=3

\frac{d y}{d x} = x + 2 x y, y (0) = 3

e^{x} d x - y d y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=4yt^2 ?
The solution for (dy)/(dt)=4yt^2 is y=e^{(4t^3)/3+c_{1}}