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Beliebt Rechnen >

y^{''}-8y^'+16y=16x+8

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = 16 x + 8

Lösung

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + x + 1

Schritte zur Lösung

y^{''} (x) - 8 y^{'} (x) + 16 y = 16 x + 8

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + x + 1

y = c_{1} e^{4 x} + c_{2} x e^{4 x} + x + 1

Graph

Beliebte Beispiele

y^{''}-2y^'+y=4x^2-6+x-1ex

y^{^{''}} - 2 y^{^{'}} + y = 4 x^{2} - 6 + x - 1 e x

y^{''}-8y^'+16y=28x+4

y^{^{''}} - 8 y^{^{'}} + 16 y = 28 x + 4

y^{''}+4y^'+13y=cos(t)

y^{^{''}} + 4 y^{^{'}} + 13 y = cos (t)

y^{''}-4y^'=te^{-2t},y(0)=0

y^{^{''}} - 4 y^{^{'}} = t e^{- 2 t}, y (0) = 0

(d^2y)/(dx^2)+8(dy)/(dx)+16y=e^{4x}

\frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} + 16 y = e^{4 x}