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Popular >

y^'=-x^2y

Solution

y^{^{'}} = - x^{2} y

Solution

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

Solution steps

y^{'} (x) = - x^{2} y

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=-5y,y=7,x=0

\frac{d y}{d x} = - 5 y, y = 7, x = 0

(dy)/(dx)+2y^2=2y

\frac{d y}{d x} + 2 y^{2} = 2 y

sqrt(x)(dy)/(dx)=e^{7y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{7 y + x}, x > 0

x y^{^{'}} = 1 - y

((d^2x)/(dx^2)+4(dy)/(dx)+20y)^2=0

(\frac{d ^{2} x}{d x ^{2}} + 4 \frac{d y}{d x} + 20 y)^{2} = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=-x^2y ?
The solution for y^'=-x^2y is y=e^{-(x^3)/3+c_{1}}