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Beliebt Rechnen >

y^{''}-12y^'+36y=280sin(x)-184cos(x)

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 280 sin (x) - 184 cos (x)

Lösung

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{12008}{1369} sin (x) - \frac{3080}{1369} cos (x)

Schritte zur Lösung

y^{''} (x) - 12 y^{'} (x) + 36 y = 280 sin (x) - 184 cos (x)

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{12008}{1369} sin (x) - \frac{3080}{1369} cos (x)

y = c_{1} e^{6 x} + c_{2} x e^{6 x} + \frac{12008}{1369} sin (x) - \frac{3080}{1369} cos (x)

Graph

Beliebte Beispiele

y^{''}-4y=8sin(2x)

y^{^{''}} - 4 y = 8 sin (2 x)

y^{''}+3y^'-1=0

y^{^{''}} + 3 y^{^{'}} - 1 = 0

q^{''}+100q^'+2500q=30,q(0)=0,q(0)=2

q^{^{''}} + 100 q^{^{'}} + 2500 q = 30, q (0) = 0, q (0) = 2

(D^3+D)y=e^{-2x}cos(2x)

(D^{3} + D) y = e^{- 2 x} cos (2 x)

x^{''}+2.5x^'+50x=1.5cos(t)

x^{^{''}} + 2.5 x^{^{'}} + 50 x = 1.5 cos (t)