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Beliebt Rechnen >

y^{''''}-y=cos(x)

Lösung

y^{^{''''}} - y = cos (x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - \frac{x sin ( x )}{4}

Schritte zur Lösung

y^{(4)} (x) - y = cos (x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - \frac{x sin ( x )}{4}

y = c_{1} e^{x} + c_{2} e^{- x} + c_{3} cos (x) + c_{4} sin (x) - \frac{x sin ( x )}{4}

Graph

Beliebte Beispiele

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

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

y^{''}+10y^'+9y=6cos(3t+1.5708)\H(t)

y^{^{''}} + 10 y^{^{'}} + 9 y = 6 cos (3 t + 1.5708) H (t)

(d^2y)/(dx^2)+4y=tan(2x)

\frac{d ^{2} y}{d x ^{2}} + 4 y = tan (2 x)

y^{''''}+2y^{''}+1=0

y^{^{''''}} + 2 y^{^{''}} + 1 = 0

y^{''}-2y^'+y=x^2+1

y^{^{''}} - 2 y^{^{'}} + y = x^{2} + 1