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^'cos(x)+ysin(x)=2cos^3(x)sin(x)

解

y^{^{'}} cos (x) + y sin (x) = 2 cos^{3} (x) sin (x)

解

y = - \frac{cos ( 2 x )}{2 sec ( x )} + \frac{c _{1}}{sec ( x )}

解答ステップ

y^{'} (x) cos (x) + y sin (x) = 2 cos^{3} (x) sin (x)

線形 ODE を解く:

y = - \frac{cos ( 2 x )}{2 sec ( x )} + \frac{c _{1}}{sec ( x )}

y = - \frac{cos ( 2 x )}{2 sec ( x )} + \frac{c _{1}}{sec ( x )}

グラフ

人気の例

limit as h approaches 0 of (2^{-h}-1)/h

h \to 0 lim (\frac{2 ^{- h} - 1}{h})

derivative arcsin(x/3)+C

d er i v a t i v e arcsin (\frac{x}{3}) + C

integral of (54)/((9x+5)^7)

\int \frac{54}{( 9 x + 5 ) ^{7}} d x

integral of 6sin^2(3x)

\int 6 sin^{2} (3 x) d x

derivative f(x)=(1-5x)/(1+7x)

d er i v a t i v e f (x) = \frac{1 - 5 x}{1 + 7 x}