form the differential equation by eliminating the arbritrary constant y^2 =Ax^2 +Bx+C


Question and Answers Forum

All Questions Topic List
Differential Equation Questions
Previous in All Question Next in All Question
Previous in Differential Equation Next in Differential Equation
Question Number 217046 by OmoloyeMichael last updated on 27/Feb/25

$f o r m t h e d i f f e r e n t i a l e q u a t i o n b y$ $e l i m i n a t i n g t h e a r b r i t r a r y c o n s t a n t$ $y^{2} = {A x}^{2} + B x + C$
	Answered by mr W last updated on 27/Feb/25

	$y^{2} = {A x}^{2} + B x + C$ $2 {y y}^{'} = 2 A x + B$ $2 {y y}^{″} + 2 {(y^{'})}^{2} = 2 A$ ${y y}^{″} + {(y^{'})}^{2} = A$ ${y y}^{‴} + y^{'} y^{″} + 2 y^{'} y^{″} = 0$ $\Rightarrow {y y}^{‴} + 3 y^{'} y^{″} = 0$
	Commented by OmoloyeMichael last updated on 01/Mar/25

	$t h a n k s s i r$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum