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Beliebt Rechnen >

(cos(6x))y^'-6(tan(6x))y=-2sec(6x)

Lösung

(cos (6 x)) y^{^{'}} - 6 (tan (6 x)) y = - 2 sec (6 x)

Lösung

y = e^{s e c (6 x)} \cdot \int - \frac{2 e ^{- s e c (6 x)} sec ( 6 x )}{cos ( 6 x )} d x

Schritte zur Lösung

(cos (6 x)) y^{'} (x) - 6 (tan (6 x)) y = - 2 sec (6 x)

Solve linear ODE:

y = e^{s e c (6 x)} \cdot \int - \frac{2 e ^{- s e c (6 x)} sec ( 6 x )}{cos ( 6 x )} d x

y = e^{s e c (6 x)} \cdot \int - \frac{2 e ^{- s e c (6 x)} sec ( 6 x )}{cos ( 6 x )} d x

Beliebte Beispiele

derivative of (x^6-6sqrt(x))

\frac{d}{d x} ((x^{6} - 6) x)

derivative xsin(x)

d er i v a t i v e x sin (x)

limit as x approaches 1+of 1/(x^3-x^2)

x \to 1 + lim (\frac{1}{x ^{3} - x ^{2}})

integral of tan^3(4x)sec^5(4x)

\int tan^{3} (4 x) sec^{5} (4 x) d x

derivative of log_{3}(sin(x))

\frac{d}{d x} (lo g_{3} (sin (x)))