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Beliebt Rechnen >

y^{''}+9y=13sec^2(3t)

Lösung

y^{^{''}} + 9 y = 13 sec^{2} (3 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- 13 + 13 ln ( tan ( 3 t ) + sec ( 3 t ) ) sin ( 3 t )}{9}

Schritte zur Lösung

y^{''} (t) + 9 y = 13 sec^{2} (3 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- 13 + 13 ln ( tan ( 3 t ) + sec ( 3 t ) ) sin ( 3 t )}{9}

y = c_{1} cos (3 t) + c_{2} sin (3 t) + \frac{- 13 + 13 ln ( tan ( 3 t ) + sec ( 3 t ) ) sin ( 3 t )}{9}

Graph

Beliebte Beispiele

y^{''}+2y^'=2x+5-e-2x

y^{^{''}} + 2 y^{^{'}} = 2 x + 5 - e - 2 x

y^{''}-2y^'+y=x^3+8x

y^{^{''}} - 2 y^{^{'}} + y = x^{3} + 8 x

y^{''}-3y^'=sin(4t)

y^{^{''}} - 3 y^{^{'}} = sin (4 t)

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

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

y^{''}+ay^'+by=x,y(0)=0,y^'(0)=0

y^{^{''}} + a y^{^{'}} + b y = x, y (0) = 0, y^{^{'}} (0) = 0