Find the general solution of a) y"-2y'+ y = e^(λx), where A is a real constant. (Hint: You should consider two cases: A = 1 and λ # 1.) b) y"+y = cos(kx), where k is an integer. (Hint: You should consider two cases: k = ±1 and k 6= ±1.) c) y" −2y' + (2/t)y = 10t (t > 0), y1(t) = t is a solution to the homogeneous part of the equation.

Find the general solution of a) y"-2y'+ y = e^(λx), where A is a real constant. (Hint: You should consider two cases: A = 1 and λ # 1.) b) y"+y = cos(kx), where k is an integer. (Hint: You should consider two cases: k = ±1 and k 6= ±1.) c) y" −2y' + (2/t)y = 10t (t > 0), y1(t) = t is a solution to the homogeneous part of the equation.

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

Section11.1: Solutions Of Elementary And Separable Differential Equations

Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...

See similar textbooks