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Find a general solution for x³y' + 2x²y = 3; y(1) = 12. %3D

Find a general solution for x³y' + 2x²y = 3; y(1) = 12. %3D

Calculus: Early Transcendentals
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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Please answer question 3 with details on how to do it. Please make handwriting legible. Thank you

1. Find the general solution for y" + 3y' – 10y = 36e4* ; y(0) = 2 , y'(0) = 1. 2. Find a general solution for y" + 7y' + 6y = 0 ; y(0) = 2 , y'(0) = -7. %3D 3. Find a general solution for x³y' + 2x²y = 3 ; y(1) = 12. dx 4. Find a general solution for dt = 6t cos(t?) ; x(0) = 1. 5. Find a particular solution for y" + 3y' – 9y = 45 cos 3x. 6. Find a general solution for y" – 4y' + 4y = 0 ; y(0) = 2 , y'(0) = 4.
Transcribed Image Text:1. Find the general solution for y" + 3y' – 10y = 36e4* ; y(0) = 2 , y'(0) = 1. 2. Find a general solution for y" + 7y' + 6y = 0 ; y(0) = 2 , y'(0) = -7. %3D 3. Find a general solution for x³y' + 2x²y = 3 ; y(1) = 12. dx 4. Find a general solution for dt = 6t cos(t?) ; x(0) = 1. 5. Find a particular solution for y" + 3y' – 9y = 45 cos 3x. 6. Find a general solution for y" – 4y' + 4y = 0 ; y(0) = 2 , y'(0) = 4.
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