(d^2+1)y=sec(x)

Lösung

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

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

(d^{2} - 4) y = x^{2} e^{3} x

y^{^{'''}} + y^{^{''}} = 1

(d^{3} + d) \cdot y = cos (x)

(d^{3} + 3 d^{2} - 4) y = sinh^{2} (x) + 7

(d^{2} + 6 d + 9) y = 5 e^{3} x