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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+y=t-3sin(2t),y(0)=1,y^'(0)=-3

y^{^{''}} + y = t - 3 sin (2 t), y (0) = 1, y^{^{'}} (0) = - 3

y^{''''}-y=te^t+sin(t)

y^{^{''''}} - y = t e^{t} + sin (t)

y^{''}+81y=8sin(9t)

y^{^{''}} + 81 y = 8 sin (9 t)

x^{''}+2x^'+5x=5cos(t)

x^{^{''}} + 2 x^{^{'}} + 5 x = 5 cos (t)

y^{''}+4y=4csc^2(2x)

y^{^{''}} + 4 y = 4 csc^{2} (2 x)