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solve y=2px+x^2p^4

solve y=2px+x^2p^4


 

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1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question below

y = 2px + p^4x^2…........(1)
y' = 2p + 2p^4x….......(2)
y'' = 2p^4….....(3)
Put in (2)
2p = y' - xy''…......(4)
Put (3) & (4) in (1)
y = (y'-xy'')x + x^2.\frac{y''}{2}
y = xy' - x^2.\frac{y''}{2}

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