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Popular Calculus >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

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\frac{d}{d x} (\frac{2 x}{x ^{4}})

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\int_{0}^{1} ln (4 - 2 x) d x

integral of 1/(x(\sqrt[5]{x))}

\int \frac{1}{x ( 5 x )} d x

integral of xe^{-1}

\int x e^{- 1} d x

area y=1+\sqrt[3]{x},x=0,x=8,y=0

a re a y = 1 + 3 x, x = 0, x = 8, y = 0

Frequently Asked Questions (FAQ)

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