Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 and y'(0) = - 10 The Specific Solution to its Particular Solution is 112 1564 3375 At this point our General Solution to the original differential equation is 112 1564 y(1) = C,e + C,e 15 225 3375 Find the values for C and C; by 1. Finding the first derivative of the general solution. 2. Plug the initial conditions into the general solution and the derivative of the general solution. 3. Use the resulting system of equations to find C, and C. 97 -7 125
Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 and y'(0) = - 10 The Specific Solution to its Particular Solution is 112 1564 3375 At this point our General Solution to the original differential equation is 112 1564 y(1) = C,e + C,e 15 225 3375 Find the values for C and C; by 1. Finding the first derivative of the general solution. 2. Plug the initial conditions into the general solution and the derivative of the general solution. 3. Use the resulting system of equations to find C, and C. 97 -7 125
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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