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dy Ⓒ 4 / -√√₁ + (4²) d²y\² 7. = 1 dx dx² 9.) (sin x)y" - (cos x)y' = 2 8. 10.

dy Ⓒ 4 / -√√₁ + (4²) d²y\² 7. = 1 dx dx² 9.) (sin x)y" - (cos x)y' = 2 8. 10.

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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I need help answering 7 & 9
In Problems 1-10 state whether the given differential equations are linear or nonlinear. Give the order of each equation. 1. (1-x)y" - 4xy' + 5y = cos x 3. yy' + 2y = 1 + x² 5. x³y(4) - x²y" + 4xy' - 3y = 0 dy dx 9.) (sin x)y"" - (cos x)y' = 2 7. = d²y dx² 1 + 2. x 6. d³y dy dx³ 8. 1 2(1x)* dx 4. x² dy + (y - xy - xe¹) dx = 0 d²y dx² d²r k dt2 p² 2 10. (1 - y²) dx + x dy = 0 + y = 0 = + 9y = sin y
Transcribed Image Text:In Problems 1-10 state whether the given differential equations are linear or nonlinear. Give the order of each equation. 1. (1-x)y" - 4xy' + 5y = cos x 3. yy' + 2y = 1 + x² 5. x³y(4) - x²y" + 4xy' - 3y = 0 dy dx 9.) (sin x)y"" - (cos x)y' = 2 7. = d²y dx² 1 + 2. x 6. d³y dy dx³ 8. 1 2(1x)* dx 4. x² dy + (y - xy - xe¹) dx = 0 d²y dx² d²r k dt2 p² 2 10. (1 - y²) dx + x dy = 0 + y = 0 = + 9y = sin y
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