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Beliebt Rechnen >

(d^2y)/(dx^2)+y=-16cos(3x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + y = - 16 cos (3 x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 2 cos (3 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + y = - 16 cos (3 x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 2 cos (3 x)

y = c_{1} cos (x) + c_{2} sin (x) + 2 cos (3 x)

Graph

Beliebte Beispiele

y^{''}-4y^'+3y= 1/(1+e^{-x)}

y^{^{''}} - 4 y^{^{'}} + 3 y = \frac{1}{1 + e ^{- x}}

x^{''}+8x^'+16x=2sin(4t)

x^{^{''}} + 8 x^{^{'}} + 16 x = 2 sin (4 t)

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

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

y^{''}-2y^'+9y=2cos(x)

y^{^{''}} - 2 y^{^{'}} + 9 y = 2 cos (x)

y^{''}+4y^'+4y=(5+x)e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = (5 + x) e^{- 2 x}