dy 6. The differential equation (1+x²) - 2xy = x + x³ has the general solution dx y=e³(x+¹)+C 4 (A) (B) y = eIn(1+x²)+C(+) (C) y=x²y+C₁x² + С₂x4 (D) y = (1+x²) ln(1+x²) + C(1+x²) (E) y = Cer²(x²+x²)
dy 6. The differential equation (1+x²) - 2xy = x + x³ has the general solution dx y=e³(x+¹)+C 4 (A) (B) y = eIn(1+x²)+C(+) (C) y=x²y+C₁x² + С₂x4 (D) y = (1+x²) ln(1+x²) + C(1+x²) (E) y = Cer²(x²+x²)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:6. The differential equation (1+x²)-2xy = x + x³ has the general solution
(A) y=e+²(x+x¹) + C
4
(B) y = e~²ln(1 +x²) + C(X2² +*²)
(C) y=x²y+C₁x² + C₂x4
(D) y=(1+x²) ln(1+x²) + C(1+x²)
(E) y = Ce*² (²+¹)
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