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QUESTION 1 The function y = csin(3x) + c2cos(3x) is a two-parameter family of solutions of the second-order ordinary differential equation 4y" + 36y = 0. Find a solution of the second-order Initial-Value Problem (IVP) consisting of this ordinary differential equation and the following initial conditions. y(0) = 3; y'(0) = -6 (type your answers as a numbers in the spaces provided below) y = sin(3x) + cos(3x)

QUESTION 1 The function y = csin(3x) + c2cos(3x) is a two-parameter family of solutions of the second-order ordinary differential equation 4y" + 36y = 0. Find a solution of the second-order Initial-Value Problem (IVP) consisting of this ordinary differential equation and the following initial conditions. y(0) = 3; y'(0) = -6 (type your answers as a numbers in the spaces provided below) y = sin(3x) + cos(3x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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QUESTION 1 The function y = c;sin(3x) + C2cos(3x) is a two-parameter family of solutions of the second-order ordinary differential equation 4y" + 36y = 0. Find a solution of the second-order Initial-Value Problem (IVP) consisting of this ordinary differential equation and the following initial conditions. y(0) = 3; y'(0) = -6 (type your answers as a numbers in the spaces provided below) y = sin(3x) + cos(3x)
Transcribed Image Text:QUESTION 1 The function y = c;sin(3x) + C2cos(3x) is a two-parameter family of solutions of the second-order ordinary differential equation 4y" + 36y = 0. Find a solution of the second-order Initial-Value Problem (IVP) consisting of this ordinary differential equation and the following initial conditions. y(0) = 3; y'(0) = -6 (type your answers as a numbers in the spaces provided below) y = sin(3x) + cos(3x)
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