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Beliebt Rechnen >

y^{''}-12y^'+36y=12x+6

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 12 x + 6

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{x}{3} + \frac{5}{18}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 12 x + 6

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{x}{3} + \frac{5}{18}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{x}{3} + \frac{5}{18}

Graph

Beliebte Beispiele

x^{''}+100x^'+2500x=30

x^{^{''}} + 100 x^{^{'}} + 2500 x = 30

(D^3+D^2-4D-4)y=3e^{-x}-4x-6

(D^{3} + D^{2} - 4 D - 4) y = 3 e^{- x} - 4 x - 6

y^{''}+2y^'+5y=30x^3+2

y^{^{''}} + 2 y^{^{'}} + 5 y = 30 x^{3} + 2

y^{''}+4y^'+5y=2e^x

y^{^{''}} + 4 y^{^{'}} + 5 y = 2 e^{x}

y^{''}+6y^'+9y=12e^t,y(0)=-1,y^'(0)=7

y^{^{''}} + 6 y^{^{'}} + 9 y = 12 e^{t}, y (0) = - 1, y^{^{'}} (0) = 7