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 >

(D^4+2D^2)y=0

解

(D^{4} + 2 D^{2}) y = 0

解

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x)

解答ステップ

(D^{4} + 2 D^{2}) y = 0

線形 ODE を解く:

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x)

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x)

グラフ

人気の例

y^{''}+6y^'+3y=0,y(0)=0,y^'(0)=1

y^{^{''}} + 6 y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 1

60x^{''}+240x=0

60 x^{^{''}} + 240 x = 0

y^{''}+(1/2)y=0

y^{^{''}} + (\frac{1}{2}) y = 0

y^{'''}+y^{''}=0,y^'(0)=0,y^{''}(0)=0

y^{^{'''}} + y^{^{''}} = 0, y^{^{'}} (0) = 0, y^{^{''}} (0) = 0

y^{''}+10y^'+25y=0,y(0)=8,y^'(0)=7

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (0) = 8, y^{^{'}} (0) = 7