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MHT CET202014 Oct 2020Morning ShiftMathematicsDefinite IntegrationActual

d² y d x² = x+e^ x ; y(0)=3 and d y d x at x=0 is 4 , then the equation of the

Options

  1. Ay=4+2 x+e^ x - x
  2. By=2+3 x+e^ x - x
  3. Cy=2+4 x+e^ x - x
  4. Dy=4+2 x+e^ x + x

Correct answer

C. y=2+4 x+e^ x - x

Step-by-step solution

d d x ( d y d x )= x+e^ x Integrating both sides.; y d y d x =e^ x - x+c at x=0 ; d y d x =4 ; c=4 d y d x =e^ x - x+4 Integrating both sides; y=e^ x - x+4 x+c put x=0 ; y(0)=3 ; c=2 Equation of curve y=e^ x - x+4 x+2

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