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Popular >

xy^'-2y=2x^2+x-2

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

integral of ((x^2-x+4))/(x^3+2x)

\int \frac{( x ^{2} - x + 4 )}{x ^{3} + 2 x} d x

integral of ((1-2x)^2)/x

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

derivative of sqrt(-x^2+25)

\frac{d}{d x} (- x^{2} + 25)

ydx+x^{α/6}dy=8yxdx+2dy

y d x + x^{\frac{α}{6}} d y = 8 y x d x + 2 d y

derivative of 2x^6+3x^5+4x^4-5x^3-6x^2+1

\frac{d}{d x} (2 x^{6} + 3 x^{5} + 4 x^{4} - 5 x^{3} - 6 x^{2} + 1)

Frequently Asked Questions (FAQ)

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