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Beliebt Rechnen >

y^{''}+25y=4sec(5x)

Lösung

y^{^{''}} + 25 y = 4 sec (5 x)

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{4}{25} ln (cos (5 x)) cos (5 x) + \frac{4}{5} x sin (5 x)

Schritte zur Lösung

y^{''} (x) + 25 y = 4 sec (5 x)

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{4}{25} ln (cos (5 x)) cos (5 x) + \frac{4}{5} x sin (5 x)

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{4}{25} ln (cos (5 x)) cos (5 x) + \frac{4}{5} x sin (5 x)

Graph

Beliebte Beispiele

(d^2v)/(dx^2)-k^2v=k^2n

\frac{d ^{2} v}{d x ^{2}} - k^{2} v = k^{2} n

y^{'''}+12y^{''}+48y^'+64y=9e^{-4x}

y^{^{'''}} + 12 y^{^{''}} + 48 y^{^{'}} + 64 y = 9 e^{- 4 x}

y^{''}+3y^'+2y=5e^{-2x}

y^{^{''}} + 3 y^{^{'}} + 2 y = 5 e^{- 2 x}

(d^2y)/(dx^2)-(dy)/(dx)-y=12

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - y = 12

y^{''}+36y=33cos(5t)

y^{^{''}} + 36 y = 33 cos (5 t)