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Beliebt Rechnen >

y^{''}-y=4cos(t),y(0)=0,y^'(0)=1

Lösung

y^{^{''}} - y = 4 cos (t), y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = (- \frac{1}{2} + 2) e^{t} + \frac{1}{2} e^{- t} - 2 cos (t)

Schritte zur Lösung

y^{''} (t) - y = 4 cos (t)

Solve linear ODE:

y = (- \frac{1}{2} + 2) e^{t} + \frac{1}{2} e^{- t} - 2 cos (t)

y = (- \frac{1}{2} + 2) e^{t} + \frac{1}{2} e^{- t} - 2 cos (t)

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=a,y(0)=2,y^'(0)=-6

y^{^{''}} - 3 y^{^{'}} + 2 y = a, y (0) = 2, y^{^{'}} (0) = - 6

d(x)=(2500)/(30(0.3+0.03))

d (x) = \frac{2500}{30 ( 0.3 + 0.03 )}

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

y^{''}-2y^'=12x+10

y^{^{''}} - 2 y^{^{'}} = 12 x + 10

y^{''}+2y^'+17y=20e^t,y(0)=2,y^{''}(0)=-4

y^{^{''}} + 2 y^{^{'}} + 17 y = 20 e^{t}, y (0) = 2, y^{^{''}} (0) = - 4