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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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 15CR
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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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