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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of (e^{3.1})^2

\int (e^{3.1})^{2} d x

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\frac{d}{d x} (cos (2 sin (x)))

limit as x approaches 2 of x^2+2x-1

x \to 2 lim (x^{2} + 2 x - 1)

derivative of sin(pi/4 e^{2x})

\frac{d}{d x} (sin (\frac{π}{4} e^{2 x}))

derivative of 3x^2(x^3+1^7)

\frac{d}{d x} (3 x^{2} (x^{3} + 1)^{7})

Frequently Asked Questions (FAQ)

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