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What is the solution of the differential equation 

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  1. y = xea + c
  2. x = yea + c
  3. y = In x + c
  4. x = In y + c

Answer (Detailed Solution Below)

Option 1 : y = xea + c
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Detailed Solution

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Calculation:

Given: 

On integrating both sides, we get

⇒ y = xea + c

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Q1.What is the solution of the differential equation? 
Q2.What are the order and degree respectively of the differential equation? 
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Q4.If y = y(x) is the solution of the differential equation \(e^y\left(\frac{d y}{d x}-1\right)=e^x\) such that y(0) = 0, then y(1) is equal to
Q5.If a curve y = f(x) passes through the point (1, 2) and satisfies xdy/dx + y = bx4, then for what value of b, \(\int_1^2 f(x) d x=\frac{62}{5}\)
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Q10.The differential equation of y = ex(A cos x + B sin x) is
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