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Beliebt Rechnen >

y^{''}+25y=7sec(5x)

Lösung

y^{^{''}} + 25 y = 7 sec (5 x)

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{7}{25} ln (cos (5 x)) cos (5 x) + \frac{7}{5} x sin (5 x)

Schritte zur Lösung

y^{''} (x) + 25 y = 7 sec (5 x)

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{7}{25} ln (cos (5 x)) cos (5 x) + \frac{7}{5} x sin (5 x)

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{7}{25} ln (cos (5 x)) cos (5 x) + \frac{7}{5} x sin (5 x)

Graph

Beliebte Beispiele

2y^{''}+3y^'+y=x^2,y(0)=0,y^'(0)=1

2 y^{^{''}} + 3 y^{^{'}} + y = x^{2}, y (0) = 0, y^{^{'}} (0) = 1

(d^2-1)y=sin^2(x)

(d^{2} - 1) y = sin^{2} (x)

41\H(x)-8u^'+u^{''}=0

41 H (x) - 8 u^{^{'}} + u^{^{''}} = 0

y^{^{''}} - 3 y = 6 x

y^{''}+y=e^tsin(t),y(0)=0,y^'(0)=0

y^{^{''}} + y = e^{t} sin (t), y (0) = 0, y^{^{'}} (0) = 0