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the solution of the differential equation x4 6x2 2
Question:
The solution of the differential equation
{x
4
+6x
2
+2(x+y)} dx-xdy=0
subject to the condition y(1)=0 is
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 21, 2024
2y(x)=x
2
+x
4
(6log|x|-3)+4x
y(x)=
\(\frac{1}{2}\)
[x
2
+x
4
(12log|x|+3)+4x]
y(x)=x
4
+x
2
(12log|x|+3)-4x
2y(x)=x
4
+x
2
(12log|x|+3)-4x
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The Correct Option is
D
Solution and Explanation
The correct answer is(D): 2y(x)=x
4
+x
2
(12log|x|+3)-4x
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