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Beliebt Rechnen >

y^{''}+4y=4sec^3(2t)

Lösung

y^{^{''}} + 4 y = 4 sec^{3} (2 t)

Lösung

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

Schritte zur Lösung

y^{''} (t) + 4 y = 4 sec^{3} (2 t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-2y^'-24y=6e^{6x}

y^{^{''}} - 2 y^{^{'}} - 24 y = 6 e^{6 x}

y^{''}+36y=4sin(2x),y(0)=1,y^'(0)=0

y^{^{''}} + 36 y = 4 sin (2 x), y (0) = 1, y^{^{'}} (0) = 0

y^{''}+y^'-2y=3-6t

y^{^{''}} + y^{^{'}} - 2 y = 3 - 6 t

y^{''}+8y^'+16y=6sin(4t)

y^{^{''}} + 8 y^{^{'}} + 16 y = 6 sin (4 t)

y^{''}+2y^'-35y=x^2

y^{^{''}} + 2 y^{^{'}} - 35 y = x^{2}