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^'=(4t+y)/(4y-t)

解

y^{^{'}} = \frac{4 t + y}{4 y - t}

解

y = \frac{t + 17 t ^{2} + c _{1}}{4}, y = \frac{t - 17 t ^{2} + c _{1}}{4}

解答ステップ

y^{'} (t) = \frac{4 t + y}{4 y - t}

完全 ODE を解く:

y = \frac{t + 17 t ^{2} + c _{1}}{4}, y = \frac{t - 17 t ^{2} + c _{1}}{4}

y = \frac{t + 17 t ^{2} + c _{1}}{4}, y = \frac{t - 17 t ^{2} + c _{1}}{4}

グラフ

人気の例

(\partial)/(\partial y)(sin(x^2+y^2))

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

(dy)/(dx)=(2x(y-1))/(x^2+3)

\frac{d y}{d x} = \frac{2 x ( y - 1 )}{x ^{2} + 3}

integral of (1+cos(x))/(1+sin(x))

\int \frac{1 + cos ( x )}{1 + sin ( x )} d x

(\partial)/(\partial x)(5x^4+2xy+1)

\frac{\partial}{\partial x} (5 x^{4} + 2 x y + 1)

laplacetransform e^{2t}cos(3t)

l a pl a ce t r an s f or m e^{2 t} cos (3 t)