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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

2ye^{y^2}y^'=2x+3sqrt(x)

2 y e^{y^{2}} y^{^{'}} = 2 x + 3 x

sqrt(1-x^2)dy-xydx=0

1 - x^{2} d y - x y d x = 0

(dy)/(dx)=(1-y)(2-y)

\frac{d y}{d x} = (1 - y) (2 - y)

y^'coth(2x)=2y-2

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

(dv)/(ds)=(s+1)/(sv+s)

\frac{d v}{d s} = \frac{s + 1}{s v + s}

Frequently Asked Questions (FAQ)

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