7. - equations. solve the given equations using separable diff 1-4v² dv 6. x- dx ,when x = 3, y = 2 3v dy 7. dx := 8x³e-2y,when x = 1, y = 0

Q: 4. (у- 2ку + 6x) dx - (x?- 2ху + 2) dy -0

A:

Q: Obtain the general solution using separation of variables ye 2x dx = (4 + e2x)dy

A: The given differential equation is y e2x dx=4+e2xdy Solving the differential equation by converting…

Q: solve homogeneous equation by linear method 2. x(dy/dx) + y = x*sinx

A: We use linear differential equation method

Q: 2. Solve x dy + y dx = 5x^2 y^3 dy O 5xy^3 + xy = C O 10xy^3 + xy C 10xy^3 + cxy - 1= 0 5xy^3+ cxy-1…

A: As per bartleby guidelines we only give first question answers.

Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: Solve for separable equation xy +5y + 2x + 10 2xy - 10y -x +5 6. 2x + 3 -dy = 0 y - 6

A: The given differential equation is: xy+5y+2x+102x+3dx+2xy-10y-x+5y-6dy=0 To solve the differential…

Q: Solve Separable (x – 4)y*dx – x³ (y² – 3)dy = 0 -

A:

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

A:

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

A:

Q: Find the general solution of the differential equation. (Use C for the constant of integration. 24…

A: Solving the differential equation

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

A:

Q: What can be the method of solving the DE? 2xyy' = y² – 2x³3 Bernoulli's DE Substitution suggested by…

A: Let's find which method is suitable.

Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: 1. Test for exactness and determine the particular solution of: (yexy – 2y³)dx + (xe*y – 6xy² –…

A:

Q: Find the particular solution for (2y3 – x³) dx + 3xy² dy = 0 when x = 1, y = 1

A:

Q: (1)Find the general solution for (- x) dx – (-y) dy = 0

A: Here, the given differential equation is  (2xy3-x)dx-(3x2y4-y)dy=0

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

A:

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx – (3x- y – 4)dy = 0

A:

Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

A:

Q: Solve the particular solution of 3y(x^2 - 1)dx +(x^3 + 8y - 3x)dy = 0; when x = 0, y = 1

A: The given differential equation is 3yx2-1dx+x3+8y-3xdy=0. The initial condition is x=0 when y=1. The…

Q: d’y - 2 y = 5x' + In(x²). dx

A:

Q: Solve: 1. (1+x)dy-yds-0 2. y dr (1+x) (separation of variables)

A:

Q: (3) Integrate using an appropriate substitution 2e- -d.xc e + 3 x-

A:

Q: Solve by finding an integrating factor which has non-exact ODE and also find integrating factor from…

A: The differential equation is given as (xy2+y)dx-xdy = 0                        (1) Let the…

Q: 4. (x³ + 3x – 1) dx 2 5. 4x x2 6. SIy + 1) – (y? - 1)]dy

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: 1.(x fan y t y) dx - xdy = 0 2- ye "dx - (ure)dy cbssitication and Solution by appropiate methed

A:

Q: 9. Obtain the general solution to the equation. (X² +36) dy + xy = 7x, y(0) = 2 dx

A: To obtain: The general solution to the equation X2+36dydX+Xy=7X, y0=2

Q: Find the general solution : (3x + 2y + 4) dx + (3x + 2y - 3) dy = 0

A:

Q: 3. Solve xy" – y' – 4x' = 8x' sin x² with change of independent variable method 4. Solve *+…

A: We are entitled to solve only one question at a time. In the question , the third term has to be…

Q: 9. Find the General and Particular solution of = 4y ; y= 3,when x dx

A:

Q: Solve for particular solution. (2x-6y+4)dx + (x-2y-3)dy = 0 ; when x = 1, y = 1

A:

Q: 10-4z .5-2x-y 6z2 dz dy dx

A:

Q: Solve (1+2.x) dy d²y -6(1+2x)- dy -16y = 8(1 + 2x) with y(0) = 0, y'(0) = 2. dx dx?

A: Given differential equation is: (1+2x)2d2ydx2-6(1+2x)dydx+16y=8(1+2x)2 Given differential equation…

Q: 4. Solve for 1 [(ax)²-b²]³/2 J dx.

A: See this solution in below.

Q: Solve 2(ax+Y) dx + (3x +Y) dy =0 ,y) =2

A: SOLUTION-

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

A: Solution

Q: 4. Find the interating factor which is just a function of the variable x for the equation (xy +x +…

A:

Q: 1. (2x -х-у)dx- хdy - 0; y(1) -о

A: Given that: (2x2-x-y)dx-xdy=0; y(1)=0

Q: Obtain the solution using Integrating Factors Found by Formulas. xydx - (x² + 2y²)dy = 0

A:

Q: dx 2х — 7у dt dy 5х + 10у + 4z dt dz 5у + 2z dt

A:

Q: Solve using 3 Differential techniques: (w^2+6z^2)dw−4wzdz=0; x=6,y=9

A: follow next step

Q: 2. Solve x+ ye* dx - xe dy = 0, y(1) = 0

A:

Q: 5) SOLVE dy _ yz %3D x2

A: A differential equation is an equation in x,y and derivatives of y. An ordinary differential…

Q: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

A:

Q: Find the General Solution 1. 2(2xy + 4y -3)dx + (x+2)2dy=0

A: 1) 2(2xy + 4y -3)dx + (x+2)2dy=0 Repost the next parts.

Q: Obtain the particular solution when x = 1 and y = 1 y(x^3-y^-5)dx-x(x^3+y^5)dy=0

A: Here is the solution of the given differential equation.

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A:

Q: 2. Solve x dy +y dx = 5x^2 y^3 dy 5xy^3 + xy = c O 10xy^3 + xy =C 10xy^3+ cxy - 1= 0 O 5xy^3 + cxy -…

A: Let's find.