de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(x^2+1)y^'+3x(y-1)=0,y(0)=4

Lösung

(x^{2} + 1) y^{^{'}} + 3 x (y - 1) = 0, y (0) = 4

Lösung

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

Schritte zur Lösung

(x^{2} + 1) y^{'} (x) + 3 x (y - 1) = 0

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

integral of (x^3+1)/(x^3+x^2)

\int \frac{x ^{3} + 1}{x ^{3} + x ^{2}} d x

derivative y=e^{-x}arctan(5e^x)

d er i v a t i v e y = e^{- x} arctan (5 e^{x})

derivative x^2ln(x^2+1)

d er i v a t i v e x^{2} ln (x^{2} + 1)

implicit (dy)/(dx),y^3=x^8

im pl i c i t \frac{d y}{d x}, y^{3} = x^{8}

integral of ((sqrt(x)+6)^4)/(2sqrt(x))

\int \frac{( x + 6 ) ^{4}}{2 x} d x