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Popular >

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

Solution

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

Solution

y = - x^{2} - 2 (x + 1) + c_{1} e^{x}

Solution steps

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

Solve linear ODE:

y = - x^{2} - 2 (x + 1) + c_{1} e^{x}

y = - x^{2} - 2 (x + 1) + c_{1} e^{x}

Graph

Popular Examples

integral from 3 to infinity of 1/(x^2)

\int_{3}^{\infty} \frac{1}{x ^{2}} d x

integral from 0 to 1 of (42)/(x^p)

\int_{0}^{1} \frac{42}{x ^{p}} d x

integral from 0 to 2 of xsqrt(11-x^2)

\int_{0}^{2} x 11 - x^{2} d x

integral of (x^2+5)e^{-x}

\int (x^{2} + 5) e^{- x} d x

integral of ((x^5+2x^2-1))/(x^4)

\int \frac{( x ^{5} + 2 x ^{2} - 1 )}{x ^{4}} d x

Frequently Asked Questions (FAQ)

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