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Beliebt Rechnen >

y^{''}+9y=7sec(3x)

Lösung

y^{^{''}} + 9 y = 7 sec (3 x)

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{7}{9} ln (cos (3 x)) cos (3 x) + \frac{7}{3} x sin (3 x)

Schritte zur Lösung

y^{''} (x) + 9 y = 7 sec (3 x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{7}{9} ln (cos (3 x)) cos (3 x) + \frac{7}{3} x sin (3 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{7}{9} ln (cos (3 x)) cos (3 x) + \frac{7}{3} x sin (3 x)

Graph

Beliebte Beispiele

y^{''}-36y=-42e^{-5t},y(0)=7,y^'(0)=0

y^{^{''}} - 36 y = - 42 e^{- 5 t}, y (0) = 7, y^{^{'}} (0) = 0

y^{''}-7y^'+6y=2,y^'(0)=7

y^{^{''}} - 7 y^{^{'}} + 6 y = 2, y^{^{'}} (0) = 7

y^{'''}-y^'=1-x^2

y^{^{'''}} - y^{^{'}} = 1 - x^{2}

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

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

y^{^{''}} + 4 y = 3 x