MHT CET202015 Oct 2020Morning ShiftMathematicsDifferential EquationsActual
The particular solution of the differential equation ( dy d x )=a , under the conditions a R and y(0)=2 is
Options
- A( x-2 y-2 )=a
- B⁻¹ ( y-2 x )=a
- C( y-2 x )=a
- D( x-2 y+2 )=a
Correct answer
C. ( y-2 x )=a
Step-by-step solution
aligned & ( d y d x )=a d y d x = ⁻¹ a & d y= ⁻¹ a d x & y=x ⁻¹ a+c ....(1) & We have x=0, y=2 & 2=0+c c=2 & y=x ⁻¹ a+2 & y-2=x ⁻¹ a y-2 x = ⁻¹ a ( y-2 x )=a aligned