(cos(3x))y^'-3(tan(3x))y=-10sec(3x)

解

(cos (3 x)) y^{^{'}} - 3 (tan (3 x)) y = - 10 sec (3 x)

y = e^{s e c (3 x)} \cdot \int - \frac{10 e ^{- s e c (3 x)} sec ( 3 x )}{cos ( 3 x )} d x

解答ステップ

(cos (3 x)) y^{'} (x) - 3 (tan (3 x)) y = - 10 sec (3 x)

線形 ODE を解く:

y = e^{s e c (3 x)} \cdot \int - \frac{10 e ^{- s e c (3 x)} sec ( 3 x )}{cos ( 3 x )} d x

y = e^{s e c (3 x)} \cdot \int - \frac{10 e ^{- s e c (3 x)} sec ( 3 x )}{cos ( 3 x )} d x