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Beliebt Rechnen >

y^{''}+6y^'+5y=10cos(5x)

Lösung

y^{^{''}} + 6 y^{^{'}} + 5 y = 10 cos (5 x)

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 5 x} + \frac{3}{13} sin (5 x) - \frac{2}{13} cos (5 x)

Schritte zur Lösung

y^{''} (x) + 6 y^{'} (x) + 5 y = 10 cos (5 x)

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 5 x} + \frac{3}{13} sin (5 x) - \frac{2}{13} cos (5 x)

y = c_{1} e^{- x} + c_{2} e^{- 5 x} + \frac{3}{13} sin (5 x) - \frac{2}{13} cos (5 x)

Graph

Beliebte Beispiele

y^{^{''}} + y = 2 x + 4

(d^2y)/(dx^2)-5(dy)/(dx)+4y=sin(x)

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 4 y = sin (x)

(d^2y)/(dx^2)-10*(dy)/(dx)+25*y=30*x+3

\frac{d ^{2} y}{d x ^{2}} - 10 \cdot \frac{d y}{d x} + 25 \cdot y = 30 \cdot x + 3

y^{''}-5y^'=28xe^{-2x}+10

y^{^{''}} - 5 y^{^{'}} = 28 x e^{- 2 x} + 10

2x^{''}+5x^'+2x=10sin(t)

2 x^{^{''}} + 5 x^{^{'}} + 2 x = 10 sin (t)