What is the solution for y^{''}+81y=-81sec^2(9x) ?

The solution for y^{''}+81y=-81sec^2(9x) is y=c_{1}cos(9x)+c_{2}sin(9x)+1-ln(sec(9x)+tan(9x))sin(9x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+81y=-81sec^2(9x)

y^{^{''}} + 81 y = - 81 sec^{2} (9 x)

y = c_{1} cos (9 x) + c_{2} sin (9 x) + 1 - ln (sec (9 x) + tan (9 x)) sin (9 x)

Solution steps

y^{''} (x) + 81 y = - 81 sec^{2} (9 x)

Solve linear ODE:

y = c_{1} cos (9 x) + c_{2} sin (9 x) + 1 - ln (sec (9 x) + tan (9 x)) sin (9 x)

y = c_{1} cos (9 x) + c_{2} sin (9 x) + 1 - ln (sec (9 x) + tan (9 x)) sin (9 x)

\int \frac{7 ( 4 - x ^{2} )}{( x - 4 ) ( x - 2 ) ( x + 3 )} d x

\int \frac{1}{5} sin (5 x) d x

\frac{d}{d t} (- 4 t^{3})

\int - \frac{1}{8} sin (2 x) d x

x \to 1 lim (lo g_{4} (x))

What is the solution for y^{''}+81y=-81sec^2(9x) ?
The solution for y^{''}+81y=-81sec^2(9x) is y=c_{1}cos(9x)+c_{2}sin(9x)+1-ln(sec(9x)+tan(9x))sin(9x)