Prove Abel's formula6W(y1(x), y2(x)) = c expp(1) dtwhere c = W(y1(xo), y2(xo)). Apply it to Prob. 6. Hint:Write (1) for yı and for y2. Eliminate q algebraicallyfrom these two ODES, obtaining a first-order linearODE. Solve it.

To Prove: The Abel's Rule Wy1(x),y2(x)=C exp-∫x0x1p(t)dt.

Answered: 6 Prove Abel's formula exp[- [pi dr]…

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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6 Prove Abel's formula exp[- [pi dr] p(t) dt xo W(y₁(x), y₂(x)) = c exp where c = W(y1(xo), y2(xo)). Apply it to Prob. 6. Hint: Write (1) for y₁ and for y2. Eliminate q algebraically from these two ODEs, obtaining a first-order linear ODE. Solve it.