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A rather simple DE problem

  • Thread starter Dr Game
  • Start date
26
0
1. Homework Statement

Verify that the function is a solution of the DE

[tex]Dy = \frac{2y}{x} , y = Cx^2[/tex]

2. The attempt at a solution

[tex]LHS = Dy = D(Cx^2) = 2 Cx[/tex]
[tex]RHS = \frac{2y}{x}[/tex]

then... I really don't know what to do from there... do I just simply things?
 

HallsofIvy

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1. Homework Statement

Verify that the function is a solution of the DE

[tex]Dy = \frac{2y}{x} , y = Cx^2[/tex]

2. The attempt at a solution

[tex]LHS = Dy = D(Cx^2) = 2 Cx[/tex]
[tex]RHS = \frac{2y}{x}[/tex]

then... I really don't know what to do from there... do I just simply things?
Well, how about replacing that y in RHS with Cx2?
 
26
0
[tex]2Cx = \frac {2Cx^2}{x}[/tex]

[tex]2Cx = 2Cx[/tex]

is that possible?
 

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