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Beliebt Rechnen >

y^{''}-16y^'+64y=-2/(3x)e^{8x}

Lösung

y^{^{''}} - 16 y^{^{'}} + 64 y = - \frac{2}{3 x} e^{8 x}

Lösung

y = c_{1} e^{8 x} + c_{2} x e^{8 x} + \frac{2 e ^{8 x} x - 2 e ^{8 x} x ln ( x )}{3}

Schritte zur Lösung

y^{''} (x) - 16 y^{'} (x) + 64 y = - \frac{2}{3 x} e^{8 x}

Solve linear ODE:

y = c_{1} e^{8 x} + c_{2} x e^{8 x} + \frac{2 e ^{8 x} x - 2 e ^{8 x} x ln ( x )}{3}

y = c_{1} e^{8 x} + c_{2} x e^{8 x} + \frac{2 e ^{8 x} x - 2 e ^{8 x} x ln ( x )}{3}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-4(dy)/(dx)+4y=4(x-1)

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = 4 (x - 1)

D (x) = - 12 x + 850

y^{''}+b^2y=cos(2t),y(0)=1

y^{^{''}} + b^{2} y = cos (2 t), y (0) = 1

y^{''}+y=-16*cos(3x)

y^{^{''}} + y = - 16 \cdot cos (3 x)

y^{''}-y=(e^x)/(x^2)

y^{^{''}} - y = \frac{e ^{x}}{x ^{2}}