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Beliebt Rechnen >

y^{''}-6y^'+9y=e^{3x}

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = e^{3 x}

Lösung

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

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) + 9 y = e^{3 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches 3 of xsqrt(25-x^3)

derivative of 3-2sin(2x-pi/4)

integral of e^x3x^2

x^2(d^2y)/(dx^2)-5x(dy)/(dx)+9y=0

integral of ((x^2-x+30))/(x^3+5x)