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MHT CET202013 Oct 2020Evening ShiftMathematicsDifferential EquationsActual

The solution of r d x+ (x-r² ) d r=0 is

Options

  1. Ar² x= r³ 3 +c
  2. Br x= r² 2 +c
  3. Cx= r³ 3 +c
  4. Dr x= r³ 3 +c

Correct answer

D. r x= r³ 3 +c

Step-by-step solution

Given rdx + ( x - r ² ) dr =0 rdx =- ( x - r ² ) dr array l r dx dr = r ²- x r d x dr + x = r ² d x dr + x r = r I.F. = e ^ 1 r dr = e ^ r = r Solution is x r = r r dr + c xr = r ³ 3 + c array

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