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Popular Calculus >

xy^'+2y=2x^2-3x

Solution

x y^{^{'}} + 2 y = 2 x^{2} - 3 x

Solution

y = \frac{x ^{2}}{2} - x + \frac{c _{1}}{x ^{2}}

Solution steps

x y^{'} (x) + 2 y = 2 x^{2} - 3 x

Solve linear ODE:

y = \frac{x ^{2}}{2} - x + \frac{c _{1}}{x ^{2}}

y = \frac{x ^{2}}{2} - x + \frac{c _{1}}{x ^{2}}

Graph

Popular Examples

derivative of f(x)=(120x^2)/(x^2+4)

d er i v a t i v e f (x) = \frac{120 x ^{2}}{x ^{2} + 4}

tangent of y=(-4x)/(x^2+1),(0,0)

t an g e n t y = \frac{- 4 x}{x ^{2} + 1}, (0, 0)

derivative of 3^{tan(x})

\frac{d}{d x} (3^{t a n (x)})

d/(dt)(e^{3t}cos(2t))

\frac{d}{d t} (e^{3 t} cos (2 t))

slope of y=x^2+5x

s l o p e y = x^{2} + 5 x

Frequently Asked Questions (FAQ)

What is the solution for xy^'+2y=2x^2-3x ?
The solution for xy^'+2y=2x^2-3x is y=(x^2)/2-x+(c_{1})/(x^2)