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Beliebt Rechnen >

y^{''}+16y=17sec^2(4t)

Lösung

y^{^{''}} + 16 y = 17 sec^{2} (4 t)

Lösung

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{- 17 + 17 ln ( tan ( 4 t ) + sec ( 4 t ) ) sin ( 4 t )}{16}

Schritte zur Lösung

y^{''} (t) + 16 y = 17 sec^{2} (4 t)

Solve linear ODE:

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{- 17 + 17 ln ( tan ( 4 t ) + sec ( 4 t ) ) sin ( 4 t )}{16}

y = c_{1} cos (4 t) + c_{2} sin (4 t) + \frac{- 17 + 17 ln ( tan ( 4 t ) + sec ( 4 t ) ) sin ( 4 t )}{16}

Graph

Beliebte Beispiele

y^{''}-y=t,y^'(0)=1

y^{^{''}} - y = t, y^{^{'}} (0) = 1

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

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

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

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

y^{''}-2y^'+y=(2e^x)/(x^2-1)

y^{^{''}} - 2 y^{^{'}} + y = \frac{2 e ^{x}}{x ^{2} - 1}

y^{''}+5y^'+6y=-19te^{(2t)}

y^{^{''}} + 5 y^{^{'}} + 6 y = - 19 t e^{(2 t)}