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Beliebt Rechnen >

y^{''}+y=5t^2-5,y(0)=0,y^'(0)=-6

Lösung

y^{^{''}} + y = 5 t^{2} - 5, y (0) = 0, y^{^{'}} (0) = - 6

Lösung

y = 15 cos (t) - 6 sin (t) + 5 t^{2} - 15

Schritte zur Lösung

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

Solve linear ODE:

y = 15 cos (t) - 6 sin (t) + 5 t^{2} - 15

y = 15 cos (t) - 6 sin (t) + 5 t^{2} - 15

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=4ex-9

y^{^{''}} - 2 y^{^{'}} - 3 y = 4 e x - 9

y^{''}-8y^'+16y=24x+2

y^{^{''}} - 8 y^{^{'}} + 16 y = 24 x + 2

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

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

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)