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Beliebt Rechnen >

(D^2+1)y=sec(x)tan(x)

Lösung

(D^{2} + 1) y = sec (x) tan (x)

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + cos (x) (- tan (x) + x) - ln (cos (x)) sin (x)

Schritte zur Lösung

(D^{2} + 1) y = sec (x) tan (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + cos (x) (- tan (x) + x) - ln (cos (x)) sin (x)

y = c_{1} cos (x) + c_{2} sin (x) + cos (x) (- tan (x) + x) - ln (cos (x)) sin (x)

Graph

Beliebte Beispiele

0.5q^{''}+6q^'+1/(0.02)q=24sin(10t)

0.5 q^{^{''}} + 6 q^{^{'}} + \frac{1}{0.02} q = 24 sin (10 t)

y^{''}-3y^'+2y=13e^{3x}

y^{^{''}} - 3 y^{^{'}} + 2 y = 13 e^{3 x}

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

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

y^{''}-2y^'+2y=4e^xcos(x)

y^{^{''}} - 2 y^{^{'}} + 2 y = 4 e^{x} cos (x)

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

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