de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(x^2+4)(dy)/(dx)+xy=2x,y(0)=3

Lösung

(x^{2} + 4) \frac{d y}{d x} + x y = 2 x, y (0) = 3

Lösung

y = \frac{2}{x ^{2} + 4} + 2

Schritte zur Lösung

(x^{2} + 4) \frac{d y}{d x} + x y = 2 x

Solve separable ODE:

y = \frac{2}{x ^{2} + 4} + 2

y = \frac{2}{x ^{2} + 4} + 2

Graph

Beliebte Beispiele

(dx)/(dt)=xsin(t),x(0)=3

\frac{d x}{d t} = x sin (t), x (0) = 3

xy^'=(3y^3+12yx^2)/(2y^2+8x^2)

x y^{^{'}} = \frac{3 y ^{3} + 12 y x ^{2}}{2 y ^{2} + 8 x ^{2}}

(dy)/(dx)=xy+6x+3y+18

\frac{d y}{d x} = x y + 6 x + 3 y + 18

(dy)/(dx)= x/y ,y=2,x=1

\frac{d y}{d x} = \frac{x}{y}, y = 2, x = 1

(dy)/(dx)=((y+3)(x-1))/((y-2)(x+4))

\frac{d y}{d x} = \frac{( y + 3 ) ( x - 1 )}{( y - 2 ) ( x + 4 )}