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Popular >

xy^'-2y=2x^2

Solution

x y^{^{'}} - 2 y = 2 x^{2}

Solution

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

Solution steps

x y^{'} (x) - 2 y = 2 x^{2}

Solve linear ODE:

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

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

Popular Examples

y^{''}+y^'-42y=0

y^{^{''}} + y^{^{'}} - 42 y = 0

integral of (5x^2)/((a^2-x^2)^{3/2)}

\int \frac{5 x ^{2}}{( a ^{2} - x ^{2} ) ^{\frac{3}{2}}} d x

tangent of f(x)=e^x,\at x=ln(10)tangent of

f (x) = e^{x}, at x = ln (10)

derivative of tan(sin(x^3))derivative of

tan (sin (x^{3}))

(dy}{dx}=-\frac{y+1)/x

\frac{d y}{d x} = - \frac{y + 1}{x}

Frequently Asked Questions (FAQ)

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