Exercise Determine whether the equation is exact. If it is, solve it. If it is not, find an integrating factor to make it exact and then solve the equation: 2xy dx + (x² - 1) dy = 0. dy xy²-cos x sin x dx = y(1-x2) with y(0) = 2. xy dx + (2x² + 3y² = 20) dy = 0. xdx+(x²y+4y) dy = 0, with y(4) = 0. Plot of y²(1 - x²) — cos² x = 3, solution to second problem.
Exercise Determine whether the equation is exact. If it is, solve it. If it is not, find an integrating factor to make it exact and then solve the equation: 2xy dx + (x² - 1) dy = 0. dy xy²-cos x sin x dx = y(1-x2) with y(0) = 2. xy dx + (2x² + 3y² = 20) dy = 0. xdx+(x²y+4y) dy = 0, with y(4) = 0. Plot of y²(1 - x²) — cos² x = 3, solution to second problem.
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 27PT: Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and...
Question
not use ai please
Transcribed Image Text:Exercise
Determine whether the equation is exact. If it is, solve it. If it is not, find an
integrating factor to make it exact and then solve the equation:
2xy dx + (x² - 1) dy = 0.
dy xy²-cos x sin x
dx
=
y(1-x2)
with y(0) = 2.
xy dx + (2x² + 3y² = 20) dy = 0.
xdx+(x²y+4y) dy = 0, with y(4) = 0.
Plot of y²(1 - x²) — cos² x = 3,
solution to second problem.
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