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Popular >

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

Solution

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

Solution

y = x^{2} + c_{1} x

Solution steps

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

Solve linear ODE:

y = x^{2} + c_{1} x

y = x^{2} + c_{1} x

Popular Examples

integral from 1 to 2 of (ln(x))/(x^2)

\int_{1}^{2} \frac{ln ( x )}{x ^{2}} d x

(dx)/(dt)-4x=cos(3t)

\frac{d x}{d t} - 4 x = cos (3 t)

integral from 0 to infinity of e^{-6x}

\int_{0}^{\infty} e^{- 6 x} d x

sum from n=0 to infinity of n-1

n = 0 \sum \infty n - 1

derivative of ln^2(x/3)

\frac{d}{d x} (ln^{2} (\frac{x}{3}))

Frequently Asked Questions (FAQ)

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