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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-5(dy)/(dx)+4y=e^x

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} + 4 y = e^{x}

y^{'''}-y^{''}-25y^'+25y=7-e^x+e^{5x}

y^{^{'''}} - y^{^{''}} - 25 y^{^{'}} + 25 y = 7 - e^{x} + e^{5 x}

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

y^{''}-8y^'+15y=e^{3x}sin(3x)

y^{^{''}} - 8 y^{^{'}} + 15 y = e^{3 x} sin (3 x)

x^{''}+a^2x=a^2b+c

x^{^{''}} + a^{2} x = a^{2} b + c