INSTRUCTIONS: As mentioned, try your best on the following questions, being sure to show your work on each question, and justify your answers. Once you've attempted EVERY part of each question with reasonable work shown, upload your work (feel free to do it on lined paper elsewhere or whatever). 1. dy dx = (3 y) cos x. Let NO Calculator allowed: Consider the differential equation y = f(x) be the particular solution to the differential equation with the initial condition f(0) = 1. The function f is defined for all real numbers. a) A portion of the slope field of the differential equation is given below. Sketch the solution curve through the point (0,1). y x b) Write an equation for the line tangent to the solution curve in part (a) at the point (0,1). Use the equation to approximate f(0.2). c) Find y = f(x), the particular solution to the differential equation with the initial condition f(0) = 1.

INSTRUCTIONS: As mentioned, try your best on the following questions, being sure to show your work on each question, and justify your answers. Once you've attempted EVERY part of each question with reasonable work shown, upload your work (feel free to do it on lined paper elsewhere or whatever). 1. dy dx = (3 y) cos x. Let NO Calculator allowed: Consider the differential equation y = f(x) be the particular solution to the differential equation with the initial condition f(0) = 1. The function f is defined for all real numbers. a) A portion of the slope field of the differential equation is given below. Sketch the solution curve through the point (0,1). y x b) Write an equation for the line tangent to the solution curve in part (a) at the point (0,1). Use the equation to approximate f(0.2). c) Find y = f(x), the particular solution to the differential equation with the initial condition f(0) = 1.

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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