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(2x+y)dx+(x-2y)dy=0 solve the differential equation
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(2x+y)dx+(x-2y)dy=0 solve the differential equation

User Jschrab
by
5.6k points

1 Answer

5 votes

Answer: y' = - x'

Step-by-step explanation:

Let f(x) = 2x + y

then f'(x) = 2 + y'

Let f(y) = x - 2y

then f'(y) = x' - 2

Given: f'(x) + f'(y) = 0

2 + y' + x' - 2 = 0

y' + x'= 0

y' = -x'

This can also be written as:
(dy)/(dx)=-(d)/(dx)

User Mohammad Rafiee
by
5.5k points
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