1. Determine which of the following equations is linear or nonlinear. If the equation is nonlinear, circle all the nonlinear terms. Also, determine the order of each equation and the independent variable used in it. Show all the work to justify your answer. (Remark: A differential equation is still called linear when it can be reduced to a linear one despite its different original form. So be extra careful!) (a) d²y dt² (d) + e dy dt + t²y = Int 1 (b) y'+yy" (c) ety' = 1 1 + t²y' 1+t³y" 1 + x²y' 1 + x³y" 2. Determine whether the given function is a solution of the given equation. X = 2t 2x + y (a) y = sinx+x², y" + y = x² + 2 (b) y = 2e³e2t, y" - yy' + 3y = -2e²t
1. Determine which of the following equations is linear or nonlinear. If the equation is nonlinear, circle all the nonlinear terms. Also, determine the order of each equation and the independent variable used in it. Show all the work to justify your answer. (Remark: A differential equation is still called linear when it can be reduced to a linear one despite its different original form. So be extra careful!) (a) d²y dt² (d) + e dy dt + t²y = Int 1 (b) y'+yy" (c) ety' = 1 1 + t²y' 1+t³y" 1 + x²y' 1 + x³y" 2. Determine whether the given function is a solution of the given equation. X = 2t 2x + y (a) y = sinx+x², y" + y = x² + 2 (b) y = 2e³e2t, y" - yy' + 3y = -2e²t
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 1CR
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Please solve parts (a) and (b) for problem#2
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