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Beliebt Rechnen >

y^{''}+y=cos(4x)

Lösung

y^{^{''}} + y = cos (4 x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - \frac{1}{15} cos (4 x)

Schritte zur Lösung

y^{''} (x) + y = cos (4 x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - \frac{1}{15} cos (4 x)

y = c_{1} cos (x) + c_{2} sin (x) - \frac{1}{15} cos (4 x)

Graph

Beliebte Beispiele

y^{''}-8y^'+16y=(e^{-4x})/(1+x^2)

y^{^{''}} - 8 y^{^{'}} + 16 y = \frac{e ^{- 4 x}}{1 + x ^{2}}

y^{''''}-4y^{''}=t^2-e^t

y^{^{''''}} - 4 y^{^{''}} = t^{2} - e^{t}

y^{''}-2y^'+y=(9e^t)/(1+t^2)

y^{^{''}} - 2 y^{^{'}} + y = \frac{9 e ^{t}}{1 + t ^{2}}

(d^2y)/(dx^2)-pi^2y=xcos(x)

\frac{d ^{2} y}{d x ^{2}} - π^{2} y = x cos (x)

y^{'''}-4y^{''}+5y^'-2y=-6ex+10cos(x)

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} - 2 y = - 6 e x + 10 cos (x)