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Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation w d²y dy coefficients. (Use yp for and ypp dt dt² Ge&t + x²y" - 15xy' + 64y = 0 8x coxe X for ..) Solve the original equation by solving the new equation using the procedures in Sections 4.3-4.5.

Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation w d²y dy coefficients. (Use yp for and ypp dt dt² Ge&t + x²y" - 15xy' + 64y = 0 8x coxe X for ..) Solve the original equation by solving the new equation using the procedures in Sections 4.3-4.5.

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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4.7.9

Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation w d²y dt² dy coefficients. (Use yp for and ypp for dt 8x Ge&t x²y" - 15xy' + 64y = 0 8x Cate&x coxe + Solve the original equation by solving the new equation using the procedures in Sections 4.3-4.5. y(x) = €₁x³ + c₂ln(x)x8 ..) , x > 0
Transcribed Image Text:Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation w d²y dt² dy coefficients. (Use yp for and ypp for dt 8x Ge&t x²y" - 15xy' + 64y = 0 8x Cate&x coxe + Solve the original equation by solving the new equation using the procedures in Sections 4.3-4.5. y(x) = €₁x³ + c₂ln(x)x8 ..) , x > 0
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