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Beliebt Rechnen >

y^{''}+k^2y=sin(bx)

Lösung

y^{^{''}} + k^{2} y = sin (b x)

Lösung

y = c_{1} cos (k x) + c_{2} sin (k x) + \frac{sin ( b x )}{k ^{2} - b ^{2}}

Schritte zur Lösung

y^{''} (x) + k^{2} y = sin (b x)

Solve linear ODE:

y = c_{1} cos (k x) + c_{2} sin (k x) + \frac{sin ( b x )}{k ^{2} - b ^{2}}

y = c_{1} cos (k x) + c_{2} sin (k x) + \frac{sin ( b x )}{k ^{2} - b ^{2}}

Graph

Beliebte Beispiele

(D^2+D-2)y=2x-40cos(2x)

(D^{2} + D - 2) y = 2 x - 40 cos (2 x)

y^{''''}+16y^{''}=sin(4t)+te^{5t}+4

y^{^{''''}} + 16 y^{^{''}} = sin (4 t) + t e^{5 t} + 4

y^{''}+3y^'+2y=e^x-e^{-x}

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{x} - e^{- x}

y^{''}+4y=7sec(2x)

y^{^{''}} + 4 y = 7 sec (2 x)

y^{''}-2y^'+5y=2

y^{^{''}} - 2 y^{^{'}} + 5 y = 2