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Beliebt Rechnen >

(d^2y)/(dx^2)-16(dy)/(dx)+64y=7e^{8x}

Lösung

\frac{d ^{2} y}{d x ^{2}} - 16 \frac{d y}{d x} + 64 y = 7 e^{8 x}

Lösung

y = c_{1} e^{8 x} + c_{2} x e^{8 x} + \frac{7 e ^{8 x} x ^{2}}{2}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 16 \frac{d y}{d x} + 64 y = 7 e^{8 x}

Solve linear ODE:

y = c_{1} e^{8 x} + c_{2} x e^{8 x} + \frac{7 e ^{8 x} x ^{2}}{2}

y = c_{1} e^{8 x} + c_{2} x e^{8 x} + \frac{7 e ^{8 x} x ^{2}}{2}

Graph

Beliebte Beispiele

y^{'''}+y^'=ln(x)

y^{^{'''}} + y^{^{'}} = ln (x)

y^{''}-2y^'=x+a

y^{^{''}} - 2 y^{^{'}} = x + a

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

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

y^{''}+6y^'+9y=((2e^{-3x}))/(x^2+1)

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{( 2 e ^{- 3 x} )}{x ^{2} + 1}

y^{''}+y=x^2+1,y(0)=7,y(1)=0

y^{^{''}} + y = x^{2} + 1, y (0) = 7, y (1) = 0