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Paragraph: Let y d x+ (x-y^3 ) d y=0 be a differential equation. Question: What is the solution of the differential equation?

Options

  1. Ay^4+2 x=c
  2. By^4+3 x=c
  3. C2 x y^4+x=c
  4. D4 x y-y^4=c

Correct answer

D. 4 x y-y^4=c

Step-by-step solution

Given differential equation is y d x d y +x=y^3 d x d y +x 1 y =y^2 (Linear differential equation form d x d y +p x= ) If = e ^ 1 y dy = y x(I . F)= (I f) y^2 d y x y= y^3 d y 4 x y-y^4+c

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