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Beliebt Rechnen >

x^2y^{''}+xy^'+y=sec(ln(x))

Lösung

x^{2} y^{^{''}} + x y^{^{'}} + y = sec (ln (x))

Lösung

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

Schritte zur Lösung

x^{2} y^{''} (x) + x y^{'} (x) + y = sec (ln (x))

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of (x+2/(x-3))

\frac{d}{d x} (\frac{x + 2}{x - 3})

derivative of ln^3(3x^2-5)

\frac{d}{d x} (ln^{3} (3 x^{2} - 5))

integral of (x^2+2)^3

\int (x^{2} + 2)^{3} d x

limit as x approaches 0 of (x-4)^3

x \to 0 lim ((x - 4)^{3})

y^'=((y^2+1))/x

y^{^{'}} = \frac{( y ^{2} + 1 )}{x}