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Beliebt Rechnen >

y^{''''}+2y^{''}+y=7+cos(3t)

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 7 + cos (3 t)

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 7 + \frac{1}{64} cos (3 t)

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 7 + cos (3 t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 7 + \frac{1}{64} cos (3 t)

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 7 + \frac{1}{64} cos (3 t)

Graph

Beliebte Beispiele

y^{''}-2y^'+y=x^{(-1)/2}e^x

y^{^{''}} - 2 y^{^{'}} + y = x^{\frac{- 1}{2}} e^{x}

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

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

y^{''}-5y^'+6e^x=0

y^{^{''}} - 5 y^{^{'}} + 6 e^{x} = 0

3(d^2y)/(dx^2)-4(dy)/(dx)+y=x-7

3 \frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + y = x - 7

y^{''}-10y^'+25y=t^{-4}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 4} e^{5 t}