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Popular >

y^'=10x^2y

Solution

y^{^{'}} = 10 x^{2} y

Solution

y = e^{\frac{10 x ^{3}}{3} + c_{1}}

Solution steps

y^{'} (x) = 10 x^{2} y

Solve separable ODE:

y = e^{\frac{10 x ^{3}}{3} + c_{1}}

y = e^{\frac{10 x ^{3}}{3} + c_{1}}

Graph

Popular Examples

(dy)/(dx)=7y^2x^3,y(2)=3

\frac{d y}{d x} = 7 y^{2} x^{3}, y (2) = 3

(dh)/(dt)=-3/100 sqrt(h-20)

\frac{d h}{d t} = - \frac{3}{100} h - 20

y y^{^{'}} = sin (x)

x(dy)/(dx)+y^2=1

x \frac{d y}{d x} + y^{2} = 1

(dx)/(dt)=60-x/(100),x=2000,t=0

\frac{d x}{d t} = 60 - \frac{x}{100}, x = 2000, t = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=10x^2y ?
The solution for y^'=10x^2y is y=e^{(10x^3)/3+c_{1}}