7. Use the Integrating Factor Method to solve Put your solution in explicit form. Give the largest interval I over which the solution is defined. dy (a) - e24 + y, y(1) = 0 dt (b) (1+x)y' + y = sin r, y(0) = 1.

Q: Find dy/dæ in terms of æ and y if æ°y – x – 2y – 1 = 0. dy dx

A: We have to find dydx in terms of x and y if x3y-x-2y-1=0.

Q: Find 11 circular arcs. a. f(x) dx for each graph of y = f(x), where f(x) consists of line segments…

A: Part b of the question has been solved as per the requirement of the student.

Q: 1. dy dx + x = 3, given y = 2 when x = 1

A:

Q: Find the equation of the solution to dx ³y through the point (x, y) = (1,2). help (equations)

A:

Q: Use the information in the table to find h'(a) at the given value of a. h(x) = g(f(x)); a = 0 h'(a)…

A: According to Bartleby's guide-line we only do first part of multiple part questions.Given,…

Q: dy dxl2 Determine if y = 3u? + 2u and u = Vx? + 5.

A:

Q: What is dy/dx at (1,1) for the function y² + xy² = 1?

A: To determine dydx at 1, 1 for the function yx2+xy2=1.

Q: d*y For the function y = 4x, find 4

A: Given functiony=4x5differentiate with respective xdydx=ddx(4x5)dydx=4ddx(x5)dydx=4*5x5-1…

Q: Step 2 Fx) dx = 1 To evaluate f(x) dx, substitute f(x) c In = - Therefore, f(x) dx =

A: We have to evaluate given integral

Q: 3. Sove 3(1+x²) = 2xy(y³ – 1) dx %3D

A: Solving first order Differential equation by Bernoulli method

Q: dy Find implicitly. dx x?y – e – 7 = o dy xp

A: Given  x2y - ey -7=0