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Beliebt Rechnen >

y^{''}+9y=8sec(3x)

Lösung

y^{^{''}} + 9 y = 8 sec (3 x)

Lösung

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{8}{9} ln (cos (3 x)) cos (3 x) + \frac{8}{3} x sin (3 x)

Schritte zur Lösung

y^{''} (x) + 9 y = 8 sec (3 x)

Solve linear ODE:

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{8}{9} ln (cos (3 x)) cos (3 x) + \frac{8}{3} x sin (3 x)

y = c_{1} cos (3 x) + c_{2} sin (3 x) + \frac{8}{9} ln (cos (3 x)) cos (3 x) + \frac{8}{3} x sin (3 x)

Graph

Beliebte Beispiele

y^{''}+16y=3e^{8x}

y^{^{''}} + 16 y = 3 e^{8 x}

y^{''}+y^'-2y=sin(2x)

y^{^{''}} + y^{^{'}} - 2 y = sin (2 x)

4y^{''}+2y=4x^3+5x^2-x+7

4 y^{^{''}} + 2 y = 4 x^{3} + 5 x^{2} - x + 7

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

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

(d^3y)/(dx^3)+(dy)/(dx)=2x^2+4sin(x)

\frac{d ^{3} y}{d x ^{3}} + \frac{d y}{d x} = 2 x^{2} + 4 sin (x)