2(y- 4X²)dx + x dy =o SOLVE THE PROBLEM USING INTEGRATION FUNCTION

Q: The separable equation dy/dx=xy2 admits a constant solution equal to (x)=0. Is it True or False?

A:

Q: (2x- 3y+4)dx+3(x–1)dy = 0 ; when x = 3, y = 2

A:

Q: Solve using separable differential equations dv 1- 4v2 ,when x = 3, y = 2 3v dx

A: The given differential equation is: xdvdx=1-4v23v          x=3  when y=2

Q: Solve the initial value problem. dy 3 dx - = x˚ (y - 5), y(0) = 9

A:

Q: 2) A: By using partial method solve [2x² cos x dx

A:

Q: Find the general solution for y''=2t+3 by direct integration and by the method of undetermied…

A: Given that      y" = 2t + 3 Here we have to find the general solution by direct integration and by…

Q: Part II Solve the initial value problem. (y°cosr– 3x?y– 2x) dx+ ( 2ysinx – x³ + Iny) dy = y (0) = e…

A:

Q: Find the integrating factor and solve the initial-value problem, xy' = -4y + 3x2; y(1) = 1. Find a…

A:

Q: 2. S In(x) x³ dx

A:

Q: Solve the initial value problem. 2x* - х - 4 2 dy X dx (x+1)(у+1) y(1) = 3

A:

Q: Solve each of the equations. Integrating Factors (3x² + y² + 4) dx + (x² – 2x y) dy = 0

A:

Q: Find the general solution of the differential equation. (Use C for the constant of integration.)…

A:

Q: 3 dx 00 (2²+4)³/2 es or diverges.

A:

Q: Find general solution of (4x + 6y)dx + (8x + 12y − 6)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

A: We have to solve given problem:

Q: Find the particular solution by means of integration factor method if: (x* +1) +3x(y-1)=0 where y(1)…

A:

Q: How do I find the general solution of y''- 2y'= e^x * sinx using the method of variation of…

A: y''-2y'=ex sin x Auxiliary Equation: m2-2m=0⇒m1=0, m2=2 Complementary function  :  y=c1+c2e2xthis…

Q: Use the integrating factor to solve y' = -3a²y + sin(x)e-*, with y(0) = 1.

A:

Q: Find the function which solves the initial value problem dy/dx=2x−2, y(2)=−7 y(x)=?

A: The solution is:

Q: Solve the initial value problem dy/dx=2x−1x2, x≠0, y(1)=5.

A:

Q: The integrating factor of the non exact DE ydx-xdy=- is -1/x^2, show your solution

A: We have to find

Q: Solve each of the equations. Integrating Factors (4x2 – 4x y + 3y² + 2) dx + x (2x – 2y + 1) dy = -

A: The differential equation given is as follows: 4x2-4xy+3y2+2dx+x2x-2y+1dy=0 We will check the…

Q: Solve the initial value problem √y dx + (x - 2)dy = 0, y(3) = 9

A:

Q: dx 2 x ex y2 + xy+y Solve Method dy integration

A: Given differential equation is  dxdy=x-2xexy2+xy+y

Q: Part II Solve the initial value problem. b. 3y(x?- 1) dx+ ( x³+ 8y– 3x) dy=0 y (0) = 1

A:

Q: a. Solve the initial value problem dx with y(0) = 4. Use t as the variable of integration in the…

A: I have solved using separation of vsriable method

Q: Use separation of variables to solve the initial value problem. dy 2xcos² y; y(3) = 0 dx

A: Here we have to solve the givne differential equation.  dydx=2xcos2y; y(3)=0

Q: Solve the initial value problem (x² + 4)- dy + 3xy = x, y(0) = 1. dx

A: Given the differential equation,  (x2+4)dydx+ 3xy = x , y(0) = 1 (x2+4)dydx+ 3xy=x(x2+4)dydx=x -…

Q: ) Solve ac-4xdx+ xly=0 using the integrating factor M= to

A:

Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

A:

Q: x2 +x – 1 x3 + 2x2 +x 1 dx = - In(x) + 2 In(x + 1) – +C x +1

A:

Q: Find the general solution of DE:  1. (x-4y-3)dx - (x-6y-5) dy = 0

A:

Q: Use integration to solve the differential equations where: dy 1) y' = 2xV4x2 + 1 dx 2) e2*y' – 4y =…

A: 2Givene2xy'−4y=0Add 4y on both sidee2xy'=4yDivide both side by e2xy'=4ye2xDivide both side by…

Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

A:

Q: ydx+(2x1/2y1/2-x)dy=0  solution of differential equation

A:

Q: Solve the initial value problem: dy/dx= (1/(2sqrt(x)))+2 y(1)=3

A: Solving the initial value problem.

Q: 4. Use integration to find a general solution of the differential equation. dy -5x³ +x dx a.…

A:

Q: 4. (y – 2)dx + (3x – y)dy = 0

A:

Q: Find the general solution of the differential equation. (Use C for the constant of integration).…

A:

Q: Use integration to solve the differential equations where: dy dx 2xv4x2 + 1 1) y' =

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: solve the initial value problem  x dy - (y + sqrt(y)) dx = 0, y(1) = 1

A: We know :

Q: Use the method of integrating factors to solve the initial value problem. y'+xy=x, y(0)=1

A:

Q: What is the suitable formula to solve differential equation using method of integration factor? A. Y…

A: Write the formula to solve the differential equation using the method of integration factor

Q: (x+2y-1)dx+(3x+6y)dy=0 solve by variable separable method

A: Given differential equation is x+2y−1dx+3x+6ydy=0......1. We have to solve the given differential…

Q: SOLVE USING HOMOGENEOUS DIFFERENTIAL EQUATION (2x-3y)dx +(2y-3x)dy = 0

A: The given differential equation is:2x-3ydx+2y-3xdy=0which can be written as dydx=3y-2x2y-3x

Q: 3) 1 Use an integrating factor to solve dy - by 25/4 = X with y(i)=-2

A:

Q: olve the initial value problem by standard method  (x^2+3y^2)dx-2xydy=0,  y(2)=6

A: We need to solve differential equationx2+3y2dx-2xydy=02xydy=x2+3y2dxdydx=x2+3y22xy