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Beliebt Rechnen >

y^{''}-12y^'+36y=12x+5

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 12 x + 5

Lösung

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

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 12 x + 5

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y=t^2+2e^t,y(0)=0,y^'(0)=3

y^{^{''}} + 4 y = t^{2} + 2 e^{t}, y (0) = 0, y^{^{'}} (0) = 3

y^{''}+2y^'+2y=2cos(2t)

y^{^{''}} + 2 y^{^{'}} + 2 y = 2 cos (2 t)

y^{''}+2y^'+5y=2sin(t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 2 sin (t)

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

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

y^{''}+4y^'+29=0

y^{^{''}} + 4 y^{^{'}} + 29 = 0