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Beliebt Rechnen >

y^{''}-12y^'+36y=5e^2x

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 5 e^{2} x

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{5 e ^{2} x}{36} + \frac{5 e ^{2}}{108}

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 5 e^{2} x

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{5 e ^{2} x}{36} + \frac{5 e ^{2}}{108}

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{5 e ^{2} x}{36} + \frac{5 e ^{2}}{108}

Graph

Beliebte Beispiele

y^{''}+5y^'+4y=8x^2+3+2cos(2x)

y^{^{''}} + 5 y^{^{'}} + 4 y = 8 x^{2} + 3 + 2 cos (2 x)

2y^{''}-3y^'+y=64

2 y^{^{''}} - 3 y^{^{'}} + y = 64

y^{''}-3y+2=x^2+2x+1

y^{^{''}} - 3 y + 2 = x^{2} + 2 x + 1

5y^{''}+7y^'+3y=x^2+2e^{5x}

5 y^{^{''}} + 7 y^{^{'}} + 3 y = x^{2} + 2 e^{5 x}

(D^2-2D+1)y=cosh(x)

(D^{2} - 2 D + 1) y = cosh (x)