Mathematics, 24.04.2020 18:46, jaxondbagley
(a) Show that every member of the family of functions y = (4 ln(x) + C)/x , x > 0, is a solution of the differential equation x2y' + xy = 4. (Simplify as much as possible.) y = 4 ln(x) + C x ⇒ y' = 4x · (1/x) − (4 ln(x) +C) x2 LHS = x2y' + xy = x2 · $$ Incorrect: Your answer is incorrect. x2 + x · 4 ln(x) + C x = Correct: Your answer is correct. + 4 ln(x) + C = Correct: Your answer is correct. = RHS, so y is a solution of the differential equation. (b) Illustrate part (a) by graphing several members of the family of solutions on a common screen.
Answers: 2
Mathematics, 21.06.2019 18:00, hannahchristine457
Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.
Answers: 3
Mathematics, 21.06.2019 20:00, ellemarshall13
15 there is a line that includes the point 0,10 and has a slope of 7/4. what is it’s equation in slope intercept form
Answers: 1
(a) Show that every member of the family of functions y = (4 ln(x) + C)/x , x > 0, is a solution...
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