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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} - \frac{x ^{3}}{3} - x^{2} - 2 x

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} - \frac{x ^{3}}{3} - x^{2} - 2 x

y = c_{1} e^{x} + c_{2} - \frac{x ^{3}}{3} - x^{2} - 2 x

Graph

Beliebte Beispiele

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

y^{^{''}} - y = \frac{2 e ^{x}}{e ^{x} + e ^{- x}}

x^{''}+4x^'+5x=13sin(2t)

x^{^{''}} + 4 x^{^{'}} + 5 x = 13 sin (2 t)

y^{''}-3y^'+4y=16x-12e^{2x}

y^{^{''}} - 3 y^{^{'}} + 4 y = 16 x - 12 e^{2 x}

y^{''}-7y^'=(x-1)^2

y^{^{''}} - 7 y^{^{'}} = (x - 1)^{2}

y^{''}+y=8cos(2x)-4sin(x)

y^{^{''}} + y = 8 cos (2 x) - 4 sin (x)