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TRANSCRIBE THE FOLLOWING TEXT IN DI

TRANSCRIBE THE FOLLOWING TEXT IN DI

Advanced Engineering Mathematics
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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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

Solution : we 介 consider the given the given function x² + 2xy - find 介 can Differentiate 0 with elespect to "x", d [x² + 2xy = cos(x + y²)] = ₁ (8) 1 - dx dx hp Xe 2x + 2x 807 dy. dx _d_ (x²) + d (2xg) _ _d_ (mas (m²)) = (008 dx dx dx (x+y2)=8 dy dx --0 хр we have 2x + 2 [x. dy + y dx ] - (-ain (x+y²). A = (x+²) = 0 d dx dx : + 2x dy + 2y + x³m (x + y²) [ 1+ 2y. d)] xin dx dx •: d (c) =0; whoa c'- constant + 2y + 2 in (x+y ²) + 2y sin (x+y²) dy [2x+2y + sin(x+y²)] + [³x + 2y ain (x+y²³) ³y The 2x+ 2y + sin (x+y²) 2x + ³y sin (x+y²) dx [2x + 2y sin (x+y²)) = = = (2x +2y + xin (x+3)) dy dx =0. )
Transcribed Image Text:Solution : we 介 consider the given the given function x² + 2xy - find 介 can Differentiate 0 with elespect to "x", d [x² + 2xy = cos(x + y²)] = ₁ (8) 1 - dx dx hp Xe 2x + 2x 807 dy. dx _d_ (x²) + d (2xg) _ _d_ (mas (m²)) = (008 dx dx dx (x+y2)=8 dy dx --0 хр we have 2x + 2 [x. dy + y dx ] - (-ain (x+y²). A = (x+²) = 0 d dx dx : + 2x dy + 2y + x³m (x + y²) [ 1+ 2y. d)] xin dx dx •: d (c) =0; whoa c'- constant + 2y + 2 in (x+y ²) + 2y sin (x+y²) dy [2x+2y + sin(x+y²)] + [³x + 2y ain (x+y²³) ³y The 2x+ 2y + sin (x+y²) 2x + ³y sin (x+y²) dx [2x + 2y sin (x+y²)) = = = (2x +2y + xin (x+3)) dy dx =0. )
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