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The Wronskian of the differential equation
  • a)
    ex
  • b)
    -e3x
  • c)
    e2x
  • d)
    e5x
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The Wronskian of the differential equationa)exb)-e3xc)e2xd)e5xCorrect ...
If the given differential equation is in the form, y'' + py' + qy = x
Where, p, q, x are functions of x.
Then Wronskian is,
Here, y1 and y2 are the solutions of y'' + py' + qy = 0
Given differential equation is,
Auxiliary equation is,
D2 – 3D + 2 = 0
⇒ D = 1, 2
C.F. = c1 e2x + cex
y1 = e2x, y2 = ex
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Most Upvoted Answer
The Wronskian of the differential equationa)exb)-e3xc)e2xd)e5xCorrect ...
If the given differential equation is in the form, y'' + py' + qy = x
Where, p, q, x are functions of x.
Then Wronskian is,
Here, y1 and y2 are the solutions of y'' + py' + qy = 0
Given differential equation is,
Auxiliary equation is,
D2 – 3D + 2 = 0
⇒ D = 1, 2
C.F. = c1 e2x + cex
y1 = e2x, y2 = ex
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The Wronskian of the differential equationa)exb)-e3xc)e2xd)e5xCorrect answer is option 'B'. Can you explain this answer?
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