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Beliebt Rechnen >

(d^4+2d^2+1)y=0

Lösung

(d^{4} + 2 d^{2} + 1) y = 0

Lösung

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

Schritte zur Lösung

(d^{4} + 2 d^{2} + 1) y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^3y)/(dx^3)-(d^2y)/(dx^2)=0

\frac{d ^{3} y}{d x ^{3}} - \frac{d ^{2} y}{d x ^{2}} = 0

y^{'''}-y^{''}+25y^'-25y=0

y^{^{'''}} - y^{^{''}} + 25 y^{^{'}} - 25 y = 0

y^{''}-16y^'-63y=0

y^{^{''}} - 16 y^{^{'}} - 63 y = 0

y^{''}+3/2 y^'+3/8 y=0

y^{^{''}} + \frac{3}{2} y^{^{'}} + \frac{3}{8} y = 0

5(d^2y)/(dx^2)-7(dy)/(dx)-90y=0

5 \frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} - 90 y = 0