ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

y^{''}+4y=3csc^2(2t)

解

y^{^{''}} + 4 y = 3 csc^{2} (2 t)

解

y = c_{1} cos (2 t) + c_{2} sin (2 t) - \frac{3}{4} ln (tan (t)) cos (2 t) + \frac{3}{8} sin (2 t) (- cot (t) - tan (t))

解答ステップ

y^{''} (t) + 4 y = 3 csc^{2} (2 t)

線形 ODE を解く:

y = c_{1} cos (2 t) + c_{2} sin (2 t) - \frac{3}{4} ln (tan (t)) cos (2 t) + \frac{3}{8} sin (2 t) (- cot (t) - tan (t))

y = c_{1} cos (2 t) + c_{2} sin (2 t) - \frac{3}{4} ln (tan (t)) cos (2 t) + \frac{3}{8} sin (2 t) (- cot (t) - tan (t))

グラフ

人気の例

integral of (x^2+x-2)/((x+2)(x-5)(x+1))

\int \frac{x ^{2} + x - 2}{( x + 2 ) ( x - 5 ) ( x + 1 )} d x

(\partial)/(\partial x)(2sin(xy))

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

derivative f(x)=-x^3+15x^2-48x+450

d er i v a t i v e f (x) = - x^{3} + 15 x^{2} - 48 x + 450

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

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

(\partial)/(\partial x)((x^2)/(x^2-1))

\frac{\partial}{\partial x} (\frac{x ^{2}}{x ^{2} - 1})