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2. a.) Show that y = x² In x is a solution to to xy' = 2y + x², y(1) = 0. 51= 200₁ Y es- Fax. te dy 2y=x dx x P(x) = -7/ Q(x)=X y =lnx+( X² y = x² lnx+x²( dx Ic= y(i)=0 0= 0 + 0 => 0 = 0 y=x² Inx Use Euler's method on the IVP in part a with a step size of h = 0.1 to approximate y(1.2). You must show your work for each iteration.

2. a.) Show that y = x² In x is a solution to to xy' = 2y + x², y(1) = 0. 51= 200₁ Y es- Fax. te dy 2y=x dx x P(x) = -7/ Q(x)=X y =lnx+( X² y = x² lnx+x²( dx Ic= y(i)=0 0= 0 + 0 => 0 = 0 y=x² Inx Use Euler's method on the IVP in part a with a step size of h = 0.1 to approximate y(1.2). You must show your work for each iteration.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2. a.) Show that y = x² In x is a solution to to xy' = 2y + x², y(1) = 0. I(= y(i)=0 0= 0 + ( =) ( = 0 y=x² Inx y=²+x Y dy_24-X dx x P(x) = -7/Q(X)= X 9=2= S fit de =lnx+( x² y = x² Inx+x²( b. Use Euler's method on the TVP in part a with a step size of h = 0.1 to approximate y(1.2). You must show your work for each iteration. хуччунх?, у 12:0 Use the results of part a and b to give the percentage error in your estimate from part b.
Transcribed Image Text:2. a.) Show that y = x² In x is a solution to to xy' = 2y + x², y(1) = 0. I(= y(i)=0 0= 0 + ( =) ( = 0 y=x² Inx y=²+x Y dy_24-X dx x P(x) = -7/Q(X)= X 9=2= S fit de =lnx+( x² y = x² Inx+x²( b. Use Euler's method on the TVP in part a with a step size of h = 0.1 to approximate y(1.2). You must show your work for each iteration. хуччунх?, у 12:0 Use the results of part a and b to give the percentage error in your estimate from part b.
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