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Find the general solution to each ODE below by using either separation of variables or find actor-whichever is appropriate. [ints/suggestions: • Try to see if it's separable first, or if it can easily be put into the standard linear form. • For each part, you'll need to determine from context which variable is independent and which is dep the derivative is! • If you're using method of integrating factors, make sure the coefficient on the derivative term is 1! • Check your answers with WolframAlpha! Ask the Discord if you have questions. . y' + 3y=t+e-²t 2. y': = x-e-x

Find the general solution to each ODE below by using either separation of variables or find actor-whichever is appropriate. [ints/suggestions: • Try to see if it's separable first, or if it can easily be put into the standard linear form. • For each part, you'll need to determine from context which variable is independent and which is dep the derivative is! • If you're using method of integrating factors, make sure the coefficient on the derivative term is 1! • Check your answers with WolframAlpha! Ask the Discord if you have questions. . y' + 3y=t+e-²t 2. y': = x-e-x

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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...
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Find the general solution to each ODE below by using either separation of variables or finding an integrating factor-whichever is appropriate. Hints/suggestions: Try to see if it's separable first, or if it can easily be put into the standard linear form. • For each part, you'll need to determine from context which variable is independent and which is dependent. Look where the derivative is! If you're using method of integrating factors, make sure the coefficient on the derivative term is 1! Check your answers with WolframAlpha! Ask the Discord if you have questions. 1. y' + 3y=t+e-2t 2. y': x-e-x y + ey
Transcribed Image Text:Find the general solution to each ODE below by using either separation of variables or finding an integrating factor-whichever is appropriate. Hints/suggestions: Try to see if it's separable first, or if it can easily be put into the standard linear form. • For each part, you'll need to determine from context which variable is independent and which is dependent. Look where the derivative is! If you're using method of integrating factors, make sure the coefficient on the derivative term is 1! Check your answers with WolframAlpha! Ask the Discord if you have questions. 1. y' + 3y=t+e-2t 2. y': x-e-x y + ey
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