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Beliebt Rechnen >

y^{''}+2y^'+5y=52cos(3x)

Lösung

y^{^{''}} + 2 y^{^{'}} + 5 y = 52 cos (3 x)

Lösung

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 6 sin (3 x) - 4 cos (3 x)

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) + 5 y = 52 cos (3 x)

Solve linear ODE:

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 6 sin (3 x) - 4 cos (3 x)

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + 6 sin (3 x) - 4 cos (3 x)

Graph

Beliebte Beispiele

y^{''}-5y^'-24y=5+2t

y^{^{''}} - 5 y^{^{'}} - 24 y = 5 + 2 t

y^{''}+36y=33cos(5x)

y^{^{''}} + 36 y = 33 cos (5 x)

d (x) = 2 x - 4

(d^2y)/(dx^2)-4y=4sin(2x)-3e^2x

\frac{d ^{2} y}{d x ^{2}} - 4 y = 4 sin (2 x) - 3 e^{2} x

12y^{''}-5y^'-3y=e^x

12 y^{^{''}} - 5 y^{^{'}} - 3 y = e^{x}