dy — у — хузе-2х dx

Q: 2. x²y' – 2xy = x* + 3; y = 2 when x = 1

A:

Q: 5. For what values of r does the function y = e™* satisfy the differential equation 2y" + y' – y =…

A: Given , differential equation       2y" + y' - y = 0   (2D2 + D - 1)y = 0 The auxiliary equation of…

Q: 4. The Bernoulli's form of the differential equation x'dy+ (2xy-y')dx=0 is

A: Given problem:- The Bernoulli's form of the differential equation x2 dy + (2xy - y3)dx = 0

Q: 1. Solve the linear differential equation of y' – 2xy = = X. swer:

A:

Q: .3) Find the solution of the folowing differential equation: in{z) +]

A:

Q: 2. Find the differential equation of the family of curves as described below. a. Family of circles…

A: As you asked multiple question I solve only the first one 2.a) We have to find out the differential…

Q: dy + ycotx = 1 dx 2.

A:

Q: find general solution of following differential equations: y'tanx=2y-8,y(1/2pie)=0

A: Given differential equationy'tan x = 2y-8⇒ y' = 2ytan x- 8tanx         ∴ y' = dydx⇒ dydx - 2tan x. y…

Q: 4. Show that both x₁ (t) = et cost and x2(t) = et sint are solutions to the second-order…

A: To show that both x1t=e-t cos t, and  x2t=e-t sin tare solutions to the second‐order differential…

Q: 4. The standard form of the first order linear differential equation x'y'+xy + 2 = 0 is

A:

Q: 4. The differential equation (2x + 3y - 1) dx + (2x + 3y +2)dy = 0 represents non-parallel lines %3D

A: Given that: (2x+3y-1)dx+(2x+3y+2)dy=0

Q: 3. Show that the differential equation dx is homogenous. Zxy

A:

Q: 3. What is the difference between a solution of a differentialequation and a solution of an…

A: The solution represents a family of solutions all of which satisfy the system of differential…

Q: (4) a general solution of the 4th-order differential equation y +y(3) + y" = 0.

A:

Q: 3. If the general solution to a second-order differential equation is given by cie + ce-5, find the…

A: In the question it is asked to solve the differential equations with initial values given.

Q: 2x³dy = y(y² + 3x²)dx

A: The given differential equation can be written as:…

Q: Solve Bernoulli differential equation of y' + xy= ry². %3D

A:

Q: y" +y = 1.

A:

Q: (5) Solve the differential equation by dy variable separable x°y- csc y dx

A: Using method of variables separable.

Q: 5. The differential equation (3x'e' - 2xx+ (r'e' -sin y ldy = 0 is exact because ON

A: Partial differentiation is needed to be done after identifying M and N

Q: (2ху? + уjdx — хdу %3D 0

A:

Q: Find the general solution for the second-order differential equation ¨y + 8 ˙y − 9y = −3 with…

A:

Q: 1. What can you say about a solution of the equation y' = 49y² just by looking at the differential…

A: Given that : y' = 49y2. This is a differential equation and we find solution of this differential…

Q: 5. In the differential equation (1+3xsin ykdx-x cos ydy = 0, we let the substitution %3D

A: Follow the procedure given below.

Q: 2. What should be A for the exact differential equation of ry + A , 2Ay – 1 dr+ y? Moreover evaluate…

A:

Q: 5. Obtain the differential equation of the family of circles with center at point (h,k) and radius…

A: Please refer to the image below

Q: 3. Show that the differential equation zxy

A:

Q: Obtain the differential equation of the family of lines passing through (-1.1).

A:

Q: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

A:

Q: Consider the differential equation (y + 4)y' = gʻ-16). Is y = cx + 4 the GENERAL solution to this…

A: Simply solve the given differential equation and compare with the  given solution.

Q: 1. Find the differential equation of the family of circles of radius r whose centre lies on the…

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 3. Given that y = 1 when x=-1, find particular solution to differential equation dx dy – 3x²y² =…

A:

Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: 1 The differential equation y' + x2 is separable. Select one: True False

A: Yes it is separable So it is true

Q: 19. The differential equation (2xy - y^2+ y) dx + (3x^2 - 4xy + 3x) = 0 is

A:

Q: 1.. The differential equation (3x² + 2.xy + 4y²)

A:

Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if…

Q: 13. Obtain the differential equation of the family of straight lines at a fixed distance p from

A:

Q: y" – 2y' + y = -3 - x+x².

A:

Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: 3) Find the solution of the differential equation y = -ry + (/')².

A: The given differential equation is. y=-xy'+y'2                                .........1 This can be…

Q: 5. In the differential equation (1+3xsin y dx– x² cos ydy = 0, we let the substitution %3D

A:

Q: 5. The Bernoulli's form of the differential equation xdy-[y + xy ³ (1 + ln x)]dx = 0 is In

A: Given xdy-y+xy3(1+lnx)dx=0

Q: Solve Bernoulli differential equation of y + ry = ry².

A:

Q: From the differential equation by eliminating the arbitary constants A and B from the equation…

A:

Q: 4. The Bernoulli's form of the differential equation x²dy + (2xy-y³)dx=0 is

A: