John B.

asked • 08/04/17

solve the differential equation dy/dx = (r√(x^2+y^2) + by) / bx, for y. The hint is to let v = y/x

By letting v = y/x, transform the differential equation to a
differential equation in v and x. Find the implicit solution of the resulting separable
equation. Then use the relationship y = xv to obtain

y+√(x^2+y^2) = x^(k+1)

2 Answers By Expert Tutors


Kendra F. answered • 08/04/17

4.7 (23)

Patient & Knowledgeable Math & Science Tutor

Andy C. answered • 08/04/17

4.9 (27)

Math/Physics Tutor

Andy C.

Please accept My apologies for mistaking by and bx for dy and dx respectively,
thinking they were a typos.


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