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Given y(x) = c₁e²x + c₂e* + 2 sinx, find the values for ₁ and ₂ so that the conditions y(0) = 0 and y'(0) = 1.

Given y(x) = c₁e²x + c₂e* + 2 sinx, find the values for ₁ and ₂ so that the conditions y(0) = 0 and y'(0) = 1.

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
Given \( y(x) = c_1 e^{2x} + c_2 e^x + 2 \sin x \), find the values for \( c_1 \) and \( c_2 \) so that the conditions \( y(0) = 0 \) and \( y'(0) = 1 \).
Transcribed Image Text:Given \( y(x) = c_1 e^{2x} + c_2 e^x + 2 \sin x \), find the values for \( c_1 \) and \( c_2 \) so that the conditions \( y(0) = 0 \) and \( y'(0) = 1 \).
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