i need some help with this ordinary differential equations question, please provide full working out and final answer. thank you!Need only handwritten solution only (not typed one). This is a two-part question.We can rewrite some differential equations by substitution to ones which we can solve.(a) Use the substitution v = 2 x + 7y+1 to rewrite the following differential equationdy(2x + 7y+1). = cos(x)dx27²73dvin the form of = f(x, v).dxEnter the expression in and v which defines the function f in the box below.(2x + 7y+1)For example, if the DE can be rewritten as du = 4 ve5x, enter 4*v*exp(5*x)dxdy Y= + cosdxY(b) Use the substitution v =to rewrite the following differential equationX(2y+7z)Note: The answers must be entered in Maple syntax.dvin the form of = g(x, v).dxEnter the expression in x and v which defines the function g in the box below.

Answered: Image /qna-images/answer/a9cd13c4-d4d7-4547-85bc-d3d1c6ed87ac.jpg

We can rewrite some differential equations by substitution to ones which we can solve. (a) Use the substitution v = 2 x + 7y+1 to rewrite the following differential equation dy (2x + 7y+1)- = cos(x) dx 2 ²7/7 dv in the form of = f(x, v). dx Enter the expression in x and v which defines the function f in the box below. (2x + 7y+1) For example, if the DE can be rewritten as dv = 4 v e5x, enter 4*v*exp(5*x) dx dy dx Y (b) Use the substitution v = to rewrite the following differential equation X + cos 2y+7x X dv in the form of = g(x, v). dx Enter the expression in x and v which defines the function g in the box below.

We can rewrite some differential equations by substitution to ones which we can solve. (a) Use the substitution v = 2 x + 7y+1 to rewrite the following differential equation dy (2x + 7y+1)- = cos(x) dx 2 ²7/7 dv in the form of = f(x, v). dx Enter the expression in x and v which defines the function f in the box below. (2x + 7y+1) For example, if the DE can be rewritten as dv = 4 v e5x, enter 4vexp(5*x) dx dy dx Y (b) Use the substitution v = to rewrite the following differential equation X + cos 2y+7x X dv in the form of = g(x, v). dx Enter the expression in x and v which defines the function g in the box below.

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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