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Beliebt Rechnen >

y^{'''}-3y^{''}+2y^'=x^2+4x+8

Lösung

y^{^{'''}} - 3 y^{^{''}} + 2 y^{^{'}} = x^{2} + 4 x + 8

Lösung

y = c_{1} + c_{2} e^{x} + c_{3} e^{2 x} + \frac{x ^{3}}{6} + \frac{7 x ^{2}}{4} + \frac{35 x}{4}

Schritte zur Lösung

y^{'''} (x) - 3 y^{''} (x) + 2 y^{'} (x) = x^{2} + 4 x + 8

Solve linear ODE:

y = c_{1} + c_{2} e^{x} + c_{3} e^{2 x} + \frac{x ^{3}}{6} + \frac{7 x ^{2}}{4} + \frac{35 x}{4}

y = c_{1} + c_{2} e^{x} + c_{3} e^{2 x} + \frac{x ^{3}}{6} + \frac{7 x ^{2}}{4} + \frac{35 x}{4}

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=16x+8

y^{^{''}} - 8 y^{^{'}} + 16 y = 16 x + 8

y^{''}-2y^'+y=4x^2-6+x-1ex

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 6 + x - 1 e x

y^{''}-8y^'+16y=28x+4

y^{^{''}} - 8 y^{^{'}} + 16 y = 28 x + 4

y^{''}+4y^'+13y=cos(t)

y^{^{''}} + 4 y^{^{'}} + 13 y = cos (t)

y^{''}-4y^'=te^{-2t},y(0)=0

y^{^{''}} - 4 y^{^{'}} = t e^{- 2 t}, y (0) = 0