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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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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 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fada09c83-8448-4738-8177-c552b181d001%2Fa9cd13c4-d4d7-4547-85bc-d3d1c6ed87ac%2Fs8r7yna_processed.png&w=3840&q=75)
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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