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Beliebt Rechnen >

(d^4y)/(dt^4)+2y^{''}+y=0

Lösung

\frac{d ^{4} y}{d t ^{4}} + 2 y^{^{''}} + y = 0

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t))

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 0

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t))

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t))

Graph

Beliebte Beispiele

y^{''}=4y,y(0)=1,y(1)=0

y^{^{''}} = 4 y, y (0) = 1, y (1) = 0

y^{''}+36y=0,y(0)=cos(6x)

y^{^{''}} + 36 y = 0, y (0) = cos (6 x)

5y^{''}+30y^'+45y=0,y(0)=-8,y^'(0)=0

5 y^{^{''}} + 30 y^{^{'}} + 45 y = 0, y (0) = - 8, y^{^{'}} (0) = 0

y^{^{''}} - c^{2} y = 0

y^{''}-3y^'+2y=0,y(0)=1,y^'(0)= 1/2

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = \frac{1}{2}