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Beliebt Rechnen >

y^{''}+16y=7sec(4x)

Lösung

y^{^{''}} + 16 y = 7 sec (4 x)

Lösung

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{16} ln (cos (4 x)) cos (4 x) + \frac{7}{4} x sin (4 x)

Schritte zur Lösung

y^{''} (x) + 16 y = 7 sec (4 x)

Solve linear ODE:

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{16} ln (cos (4 x)) cos (4 x) + \frac{7}{4} x sin (4 x)

y = c_{1} cos (4 x) + c_{2} sin (4 x) + \frac{7}{16} ln (cos (4 x)) cos (4 x) + \frac{7}{4} x sin (4 x)

Graph

Beliebte Beispiele

y^{''}+y^'+2y=-25xe^x,y^'(0)=0

y^{^{''}} + y^{^{'}} + 2 y = - 25 x e^{x}, y^{^{'}} (0) = 0

y^{''}-4y^'+13=0

y^{^{''}} - 4 y^{^{'}} + 13 = 0

y^{''}-3y^'+2y=e^x+cos(x)

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{x} + cos (x)

y^{''}-2y^'-3y=8ex-12

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e x - 12

(d^2y)/(dx^2)+(dy)/(dx)-6y=18

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 18