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Beliebt Rechnen >

y^{''}-12y^'+36y=7e^{6x}

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 7 e^{6 x}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 7 e^{6 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+1/8 y^'+y=3cos(t)

y^{^{''}} + \frac{1}{8} y^{^{'}} + y = 3 cos (t)

y^{''}+9y^'+14y= 1/2 sin(t)

y^{^{''}} + 9 y^{^{'}} + 14 y = \frac{1}{2} sin (t)

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

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

y^{''}+y=sec^2(x),y(0)=2,y^'(0)=1

y^{^{''}} + y = sec^{2} (x), y (0) = 2, y^{^{'}} (0) = 1

D (D - 3) y = 3 t + \frac{t}{2}