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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

d/(dy)(-e^{-xy})

\frac{d}{d y} (- e^{- x y})

integral of (sqrt(25-x^2))/x

\int \frac{25 - x ^{2}}{x} d x

integral of (sec(x)tan(x))/(2sec(x)+3)

\int \frac{sec ( x ) tan ( x )}{2 sec ( x ) + 3} d x

integral of (x+2)(2x-1)

\int (x + 2) (2 x - 1) d x

derivative of 3x^2+6

\frac{d}{d x} (3 x^{2} + 6)

Frequently Asked Questions (FAQ)

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