11. The differential equation y' +2y' - 10y = x2 + cos x is - Ordinary and non-linear OPartial and non-linear O Ordinary and linear Partial and linear 12. The differential equation 2y dx + (x - x^3 y^3) dy = 0 is Exact and Non-Homogeneous Non-Exact and Non-Homogeneous

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

A:

Q: 8. Use a substitution to solve the homogeneous 1st order differential equation (x – y)dx + x dy = 0

A:

Q: 4) In the differential equation of, y(x³ – y)dx – x(x³ + y)dy = 0 where a and ß are constants, what…

A: Question from ordinary differential equations.

Q: 7: The point xois a singular point of the differential equation y"+ P(x)y' + Q(x)y = 0 if alytic at…

A: The point x0 is a singular point of the differential equation y''+P(x)y'+Q(x)y=0. Then we have t…

Q: For the differential equation (x2 – 16)y" + (x – 4)y' + 2y = 0, the singular %3D points are: O x=4…

A: Let us consider the differential equation y''+P(x) y'+Q(x)y=0 Where P(x) and Q(x) are function of x…

Q: 2-The exact solution of differential equation ý--4y with y(0)-1 is (a) 2e-4x (b) e-4x (c) e-4x +1…

A: As per as our guideline i am supposed to answer only one question from all these question . To get…

Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x-y'dy=0 is

A:

Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y= 0, the singular points are: %3| x=2 and…

A:

Q: 9. Consider the differential equation given by y' = --x, with initial value y(0) = 1. 1+ y Applying…

A:

Q: (a). If 2xy³ +3y cos(xy)+(cx²y² +3x cos(xy))y'=0 is an exact equation, determine the value of c.…

A:

Q: Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy =…

A:

Q: Given the differential equation y" = 4y' - 3sin(4y) Find the Implicit derivative " dy/dx" of the…

A: Given problem:- Given the differential equation   y" = 4y - 3sin(4y)   Find the Implicit derivative…

Q: [6] Find the solution of the first order ordinary differential equation (1– 3y2) dy – x sinx dx=0, y…

A:

Q: 1. Find the general solution of the linear differential equation using undetermined coefficients,…

A:

Q: 1 xdy – y(1+ y cos 2x)dx = 0 ;y(0): Ans: 2x + y sin 2x = 0 2

A:

Q: 9. Solve the differential equation (2 sin?y + 4x² sin y)dx + (3x sin y cos y + 2x³ cos y) dy = 0…

A:

Q: 8. (2 + y cos x) dx + x cos x dy = 0 Ans: In(sec x + tan x) + xy = c

A:

Q: Q3. Second order non-homogeneous ordinary differential equation is given as: y" +y' – 2y = x² - x+e*…

A:

Q: 16. What is the particular solution of the linear differential equation y' +y = sec e", whose…

A: The solution is given as

Q: Find the particular solution of the  differential equation with the initial condition given below.…

A:

Q: What is the general solution to the differential equation dydx=(x−1)/(3y^2) for y>0y>0

A:

Q: Soru 1: x² +1 dy +6+9y=e³* dx xE (0,+) Defined in the range differential equation dx² differential…

A:

Q: For the differential equation (x2 – 4)y" + (x- 2)y' + 2y = 0, the singular points are: O None of…

A:

Q: x2+1 y'= Ans: y = + x + In(x – 1)² +c = -X - X-1

A:

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

A:

Q: 7. Choose the appropriate table for the differential equation X y ଶ୪ X y dx X Y -201 -4 1 2 2 -1 -1…

A: The solution is given below

Q: Find the general solution of the differential equation y + 18xy* = 0 using separation of variables.…

A: hello greetings from bartelby.i am here to help you.

Q: Q3. Second order non-homogeneous ordinary differential equation is given as: y"+ y' – 2y = x² - x+e*

A:

Q: x(1+ y³)dy + ydx = 0 ;y(1) = 1 Ans: In(xy)3 + y3 = 1

A:

Q: For the differential equation (x -4)y" + (x- 2)y'+ 2y 0, the singular points are: O None of them x-3…

A:

Q: 1. Given the differential equation: y" = cos(5x). Determine its general solution. A. 125y = -cos(5x)…

A:

Q: 7. Find a linear differential equation with constant coefficients Ly = 0 such that y(x) = cos(x) +…

A:

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

A:

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the…

A: Solved below

Q: 43. The integrating factor of the differential equation (2xy - y^2+y) dx + (3x^2 - 4xy + 3x) = 0 is…

A:

Q: 22/ for the differential equation ģ =X+y if ylo)=1 s ind y (ood) by Using Euller modibied method…

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: ) Find the particular solution of the differential equation dydx=(x−3)e−2ydydx=(x−3)e−2y satisfying…

A:

Q: 12) Consider the differential equation y" + a1(x)y' + ao(x)y = 9 sin(7x) And suppose that Y1 = x Y2…

A:

Q: 5. The differential equation (3r*e" - 2xktx+(r°e' -sin y}dy = 0 is exact because ƏN ƏM ôx

A:

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the…

A:

Q: 12) Consider the differential equation y" + a1(x)y' + ao(x)y = 9 sin(7x) And suppose that Y1 = x Y2…

A:

Q: 20.Find the particular solution of the differential equation x +1) = x3 – 2y, given x = 1 dx when y…

A: We have to find general solution of given differential equation with initial condition.

Q: The solution of the differential equation by variable separable method dy 3 + y?) (3x² + 6) is_ dx…

A:

Q: Find the general solution of the higher order linear ordinary differential equation: y"' + 2y" + 4'…

A: We have to find general solution of given differential equation.

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 the differential equation (x+3)−¹ cos (y) dx - [sin (y) In |5x + 15|-y-¹] dy = 0 cos (y) dx a.…

A:

Q: 28. The integrating factor of the differential equation x dy + (y - x^2) dx 0 is. 01 O en-2x O Does…

A:

Q: 1. The differential equation (x2 + y2)dx + 4xydy = 0 is Ordinary and linear Ordinary and non-linear…

A: