The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,e-/P(x) dxy} (x)Y₂ = Y ₁(x) [-as instructed,-dx(5)to find a second solution y₂(x).Y₁ = e5x/636y" - 60y' + 25y = 0;

The differential equation is 36y''-60y'+25y=0 and one solution: y1=e5x6. We need to calculate y2…

Answered: The indicated function y(x) is a…

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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The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-JP(x) dx Y₂ = y₁ (x) /² dx (5) x²(x) as instructed, to find a second solution y(x). Y2 x²y" − xy' + 17y = 0; y₁ = x cos(4 In(x)) x sin 4 ln x 4
The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-ĴP(x) dx Y₂ = Y₁(x) [ Y2 v ²₁ (x) dx (5) as instructed, to find a second solution y₂(x). (1-x2)y" + 2xy' = 0; y₁ = 1
Q1:A. Solve the differential equation (y + 1)dx + (x + 1)dy = 0 1. Separable equation y(0) = 0 Cho
The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-P(x) dx Y2 = Y1(x) | - -dx (5) as instructed, to find a second solution y,(x). x?y" – xy' + 17y = 0; = x sin(4 In(x)) Y2 =
The indicated function y, (x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-P(x) dx Y2 = Y1(x) / dx (5) as instructed, to find a second solution y,(x). x2y" - 3xy' + 5y = 0; y, = x² cos(In(x)) Y2 =
The indicated function y₁(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx Y2 Y₂ = y ₁ (x) x) [² as instructed, to find a second solution y₂(x). e dx (5) x²y" - xy' + 17y=0; y₁ = x cos(4 ln(x)) X
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The indicated function y(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, e-SP(x) dx Y₂ N Y₂ = Y₁ (x) [² II y} (x) as instructed, to find a second solution y₂(x). 36y" - 60y' + 25y = 0; ₁=e³x/6 dx (5)