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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of ln((x+3/(x-3)))

\frac{d}{d x} (ln (\frac{x + 3}{x - 3}))

integral of 1/(xsqrt(8-ln^2(x)+2ln(x)))

\int \frac{1}{x 8 - ln ^{2} ( x ) + 2 ln ( x )} d x

limit as x approaches 0+of 6sqrt(x)ln(x)

x \to 0 + lim (6 x ln (x))

limit as x approaches-2 of x^2-4

x \to - 2 lim (x^{2} - 4)

(\partial)/(\partial x)(2(y-5)(x+5))

\frac{\partial}{\partial x} (2 (y - 5) (x + 5))

Frequently Asked Questions (FAQ)

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