Answers>Maths>A Level>Article

Solve the ODE y' = -x/y.

we have dy/dx = -x/y , so we treat the differentials as fractions and write y dy = -x dx. Now integrating the left side with respect to y and the right side with respect to x, we have y²/2 = -x²/2 + C. Which is our final solution.

Answered by Jean-christophe M. • Maths tutor

3868 Views

See similar Maths A Level tutors

Solve the ODE y' = -x/y.

Related Maths A Level answers

The curve C has equation (4x^2-y^3+3^2x)=0. The point P (0,1) lies on C: what is the value of dy/dx at P?

How would I differentiate something in the form of (ax+b)^n

integrate by parts the equation dy/dx = (3x-4)(2x^2+5).

Make a the subject of 3(a+4) = ac+5f .