y^{'''}+y^'=sec(x)

Lösung

y^{^{'''}} + y^{^{'}} = sec (x)

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + ln (tan (x) + sec (x)) - x cos (x) + ln (cos (x)) sin (x)

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = sec (x)

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + ln (tan (x) + sec (x)) - x cos (x) + ln (cos (x)) sin (x)

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + ln (tan (x) + sec (x)) - x cos (x) + ln (cos (x)) sin (x)

\frac{\partial}{\partial x} (x^{2 y})

im pl i c i t \frac{d y}{d x}, ln (x y) + 9 x = 40

\int \frac{16 y - 9}{3 y - 5 y ^{2}} d y

x \to 3 lim (\frac{∣ x - 2 ∣}{x - 2})

d er i v a t i v e y = \frac{4 x ^{7}}{7}