Solve the given initial-value problem. dy X- +y=6x + 1, y(1) = 7 dx y(x) = Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.) I=

Q: Solve: 7x -9x%3D 2x-5 5-2x O A. x= 3 O B. x=-,-3 OC.x=--3 O C. x=-. D. x=--,3 E. None of the above 6

A:

Q: 1. (3x² +y² + 4) dx + (x² – 2xy) dy = 0 %3D

A:

Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: dy Find a solution to = xy + 6x + 4y + 24. If necessary, use k to denote an dx arbitrary constant.…

A:

Q: xy² (xdy + ydx) = (xy - 2)dy

A: We have to solve given Questions.

Q: Q1. (a) Solve the equation dy rp

A: We have to solve given differential equation

Q: Find the first derivative of the function Y = [(x – 1)(2x + 3)]?.

A: Let us see the expansion of (a + b - c)2 formula.(a + b - c)2 = (a + b - c)(a + b - c)(a + b - c)2 =…

Q: (2y² + 3xy – 2y + 6x)dx + x(x + 2y – 1)dy = 0

A: The differential equation is given as (2y2+3xy-2y+6x)dx+x(x+2y-1)dy=0 Let the integrating factor be…

Q: 6. Show that (an)neN C R is bounded if and only if lim supn→∞ an < +∞o.

A: To Prove:  ann is bounded sequence if and only if limsupan&lt;+∞.

Q: dy x6 z = f, x > 0 dx

A:

Q: √x -dx √√x-1

A:

Q: d²x 3. + 2x - x = 0, %3D dr (8x(0) = 1, x'(0) = 1; x(0) = , x'(0) = –1 %3D %3D %3D

A:

Q: Find a solution to dy = xy + 4x + 3y + 12. If necessary, use k to denote an arbitrary constant. dx…

A:

Q: Eliminate the arbitrary constants. y ln y = Ae* + Be¯x

A: We have to eliminate the arbitrary constants A and B from ylny=Aex+Be-x

Q: Solve dy = ax + by + c_ dx

A:

Q: Solve for z. 4r 7 1 5/Ax Submit Question Iype her %3D

A:

Q: A. Solve dy (1+x+) dx

A: We have to find the solution

Q: Write each equation in the form M(x)dx + N(x) dx = 0 test for exactness and solve those equations…

A:

Q: dx 43. Evalua Jx +2)(x² +4x + 10) te

A: To simplify this integral, we use partial fraction decomposition. Thus,…

Q: Y(3x*2)dx + x (1-2y) dy-0

A:

Q: Determine for which values of m the function (x)=x" is a solution to the given equation. (a) 3,2d…

A: We have to find the value of m.

Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с.…

A:

Q: y? dx + (x2 + 3xy + 4y?) dy = 0

A:

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: Solve the D.EXY+Y=1/1/2

A:

Q: SOLVE STEP BY STEP THE FOLLOWING ODE IN DIGITAL FORMAT dx e2x+5y when y(0)=0 dy =

A: Let us consider the differential equation dydx=f(x)g(y) The solution of the equation is obtained by…

Q: Solve Bernou llis Eq' = xPy-xy dy 이것 uation

A:

Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

A:

Q: Solve the Equaiton for y. 10/4y + 8/2 = 2y - 2

A: Given,