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Beliebt Rechnen >

(d^2y)/(dx^2)+y=cot(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+5y=e^{-t}

y^{^{''}} + 2 y^{^{'}} + 5 y = e^{- t}

x^{''}+5x^'+4x=5e^{10t}

x^{^{''}} + 5 x^{^{'}} + 4 x = 5 e^{10 t}

(d^2y)/(dx^2)+y=1

\frac{d ^{2} y}{d x ^{2}} + y = 1

y^{''}-3y^'-4y=3e^{2x}+2sin(x)

y^{^{''}} - 3 y^{^{'}} - 4 y = 3 e^{2 x} + 2 sin (x)

y^{''}+2y^'-2y=x^2-e^xcos(2x)

y^{^{''}} + 2 y^{^{'}} - 2 y = x^{2} - e^{x} cos (2 x)