Need help with this Taylor Series question (a)Consider the system of first order initial value problems (IVPS)dy= 4u + 3y,dry(0) = 1du—D и + 2у,dxu(0) = 1Apply Taylor series method of order 3 to find the approximation of y(0.1)and u(0.1) with step size 0.1.

Differentiate the equations dydx=4u+3y and dudx=u+2y with respect to x, to find their derivatives.…

Consider the system of first order initial value problems (IVPS) dy 4u + Зу, y(0) = 1 dr du = u + 2y, dr u(0) = 1 Apply Taylor series method of order 3 to find the approximation of y(0.1) and u(0.1) with step size 0.1.

Consider the system of first order initial value problems (IVPS) dy 4u + Зу, y(0) = 1 dr du = u + 2y, dr u(0) = 1 Apply Taylor series method of order 3 to find the approximation of y(0.1) and u(0.1) with step size 0.1.

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

Need help with this Taylor Series question

(a)
Consider the system of first order initial value problems (IVPS)
dy
= 4u + 3y,
dr
y(0) = 1
du
—D и + 2у,
dx
u(0) = 1
Apply Taylor series method of order 3 to find the approximation of y(0.1)
and u(0.1) with step size 0.1.

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