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Beliebt Rechnen >

y^{''}+4y=7sec(2x)

Lösung

y^{^{''}} + 4 y = 7 sec (2 x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{7}{4} ln (cos (2 x)) cos (2 x) + \frac{7}{2} x sin (2 x)

Schritte zur Lösung

y^{''} (x) + 4 y = 7 sec (2 x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{7}{4} ln (cos (2 x)) cos (2 x) + \frac{7}{2} x sin (2 x)

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{7}{4} ln (cos (2 x)) cos (2 x) + \frac{7}{2} x sin (2 x)

Graph

Beliebte Beispiele

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

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

y^{''}+16y=t^2+1,y(0)=0,y^'(0)=1

y^{^{''}} + 16 y = t^{2} + 1, y (0) = 0, y^{^{'}} (0) = 1

y^{'''}-12y^{''}+48y^'-64y=9e^{4x}

y^{^{'''}} - 12 y^{^{''}} + 48 y^{^{'}} - 64 y = 9 e^{4 x}

y^{'''}+121y^'=tan(11x)

y^{^{'''}} + 121 y^{^{'}} = tan (11 x)

y^{''}-2y^'-3y=6xe^{2x}+4x-5

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x e^{2 x} + 4 x - 5