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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (x) + c_{2} sin (x) - ln (sin (x)) cos (x) + sin (x) (- x - cot (x))

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - ln (sin (x)) cos (x) + sin (x) (- x - cot (x))

y = c_{1} cos (x) + c_{2} sin (x) - ln (sin (x)) cos (x) + sin (x) (- x - cot (x))

Graph

Beliebte Beispiele

y^{''}-4y^'+3=e^{-5x},y(0)=0,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 3 = e^{- 5 x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-4y^'+13y=5cos(2x)

y^{^{''}} - 4 y^{^{'}} + 13 y = 5 cos (2 x)

1/4 y^{''}+4y=tan(4t)-1/3 e^{2t}

\frac{1}{4} y^{^{''}} + 4 y = tan (4 t) - \frac{1}{3} e^{2 t}

y^{''}+4y=17sec^2(2t)

y^{^{''}} + 4 y = 17 sec^{2} (2 t)

y^{^{''}} + b y^{^{'}} = a