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Beliebt Rechnen >

y^{''}+y=5t^2-9,y(0)=0,y^'(0)=-2

Lösung

y^{^{''}} + y = 5 t^{2} - 9, y (0) = 0, y^{^{'}} (0) = - 2

Lösung

y = 19 cos (t) - 2 sin (t) + 5 t^{2} - 19

Schritte zur Lösung

y^{''} (t) + y = 5 t^{2} - 9

Solve linear ODE:

y = 19 cos (t) - 2 sin (t) + 5 t^{2} - 19

y = 19 cos (t) - 2 sin (t) + 5 t^{2} - 19

Graph

Beliebte Beispiele

y^{''}+4y=x*sin^2(x)

y^{^{''}} + 4 y = x \cdot sin^{2} (x)

y^{''}+9y=cos(t),y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = cos (t), y (0) = 0, y^{^{'}} (0) = 0

y^{^{''}} + 6 y^{^{'}} = 2

y^{^{''}} + 6 y^{^{'}} = 1

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

y^{^{''}} + 2 y^{^{'}} + 2 y = \frac{( e ^{- x} )}{cos ( x )}