answer

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
icon
Related questions
Question

answer asap

(y³+ kxy4 - 2x)dx + (3xy² + 20x²y³ - ky)dy = 0
a) Solve for the value of k so that the differential equation above will be exact.
b) By substituting the value of k from your result in part (a) to the given DE, solve for its
general solution. Express your answer in implicit form, i.e., f(x, y) = c
c) Using the result in part (b), find c when x = 1 and y = 1.
Transcribed Image Text:(y³+ kxy4 - 2x)dx + (3xy² + 20x²y³ - ky)dy = 0 a) Solve for the value of k so that the differential equation above will be exact. b) By substituting the value of k from your result in part (a) to the given DE, solve for its general solution. Express your answer in implicit form, i.e., f(x, y) = c c) Using the result in part (b), find c when x = 1 and y = 1.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,