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 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.
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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Transcribed Image Text: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 equation
dy
(2x + 7y+1). = cos(x)
dx
27²73
dv
in the form of = f(x, v).
dx
Enter 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)
dx
dy Y
= + cos
dx
Y
(b) Use the substitution v =
to rewrite the following differential equation
X
(2y+7z)
Note: The answers must be entered in Maple syntax.
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.
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