For what value of k is the differential equation (k²y-6x)dx+(2x² + 2y)dy=0 exact? 2

Q: For what value of k is the following differential equation exact? (3r² – kr²y + 2) + (đ² – 4x² +3) -

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Q: Given a differential equation as d²y x2 dx² +4y=0. dx By using substitution of x = e' and t = ln…

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Q: What is the complementary solution y, for the differential equation y"- 4y= 12.x

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Q: For what value of a, the differential equation 4ydx + 2axdy = 0 is exact ? o a = -2 O None of the…

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Q: For the differential equation. Solve explicitly for y(x): dy/dx = (6y2+1)/(3y-3xy) , y(3)=5

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Q: x²y" + 2xy' – 6y = 0 , Y1 = x²

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Q: dy nx- 2y = -kxy¬n 1-n dx

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Verify that the differential equation is exact, and then solve it: x(6xy + 2y? + 2y)dx + x(2x² + 2xy…

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

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Q: What is the value of k that will make the differential equation ky (x - – 3r) dy = 0 1) dr + ( + 8y…

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Q: Find the general solution of the following differential equation:   2x ( y - x2 ) dx + dy = 0

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Q: (4) Find the general solution of the differential equation (D² + 2D + 5)Y = = cos ha

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Q: Which of the following is the solution to the differential equation: dx + [ycsc- xldy - 0. a. = cos…

A: Here we solve the given differential equation.

Q: • Solve for the value of "C" on the given differential equation below. Let y(1)=1 2( y- 9x2 )dx +…

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Q: 4) ( cos2x + 2xy - xy² ) dx + ( y²e♥ + x? - x²y ) dy = 0 %3D

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Q: Solve the differential equation of the following (x-3y+2) dx + 3(x+3y-4) dy = 0

A: The given differential equation is  (x-3y+2) dx + 3(x+3y-4) dy = 0

Q: dy 3 dx * 4xY : e*x3 y5 4 ||

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Q: For what value of k the given differential equation is exact? (4æy – 2y)dæ + (2² – 6kxy?)dy = 0. %3D…

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Q: Solve the following differential equation using appropriate method. 2. (2x + 4y + 6) dx + (4x -2y-5)…

A: The given differential equation is; (2x+4y+6)dx+(4x-2y-5)dy=0

Q: Which of the following is the general solution to the differential equation (x +y-1)dx + (3x + 4y-…

A: First order linear differential equation

Q: Which of the following is the general solution to the differential equation (x +y-1)dx + (3x + 4y-…

A: We have to solve the given 1st order differential equation.

Q: For what values of k does the function y = cos(kt) satisfy the differential equation 4y" = -9y? k =…

A: y=coskty'=-k sin kty''=-k2 cos kt4y''=-9y⇒-4k2 cos kt=-9 cos kt⇒-4k2=-9⇒k2=94

Q: (x+4y³)dy-y dx -o

A: Note :- according to our company guideline we can solve maximum one question so i am solving first…

Q: For the differential equation (D- 4) y% = 4) y = 5e %3D ,a particular solution is given by O 1 =0 O…

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Q: Check the exactness of the following differential equation and find its solution: {2xy cos x² - 2xy…

A: Exact differential equation

Q: For what value of k is the differential equation (6xy³+ cos y)dx + (3kx²y² – xsin y)dy = 0 exact? (A…

A: For differential equation to be exact  Mx = Ny

Q: Which of the following is a solution of the differential equation dy/dx-4y=0?

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Q: (2xy+1)dx +xy'dy - O

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Q: Which of the following is the general solution to the differential equation (x³ + xy)dy - (y² – x²y…

A: First we will make it exact then solve it

Q: What value of k would make the differential equation dy + In(x+1) = a'yk variables separable? O 2 O…

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Q: 6) ( 2y - x ) dx + 3xy?dy = 0 %3D

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Q: Find the two values of K for which y(x) = ekx is a solution to the differential equation yII -…

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Q: For what values of k does the function y = e kx satisfy the differential equation 3y" + 2y'-y=0

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Q: Which of the following is the general solution to the differential equation + 2x - 2x*y'dy dx+ 2x

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

Q: The solution of the following separable differential equation y' = =2xy is x2

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Q: For what value of k is the differential equation (6xy³+ cos y)dx+(3kx²y² – xsin y)dy = 0 exact? A 6…

A: The given differential equation,6xy3+cos ydx+3kx2y2-xsin ydy=0

Q: Which of the following is the general solution of the differential equation x dy + (y - x^2) dx = 0…

A: We have to apply properties of differential equation to solve the problem

Q: Q1: Find the solution of the following Differential Equations 2. dx + 3y = e* + 2 3. dx2 x = 0 dx

A: We will find the Differential equation solution

Q: For which value of a is the differential equation (y² + axy³ )dx + (Ky²x² + 2xy) dy = 0 exact

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Q: Which of the following is the general solution to the differential equation y2dx = (xy-x)dy?

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Q: For what value of k is the differential equation (6xy³+ cos y)dx + (3kx²y² – xsin y)dy - О ехаct? A…

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Q: The differential equation x(3xy-4y +6kdx+(r' – 6x²y² -1dy= 0 is exact because ÔM ON

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Q: Find the general solution of the following differential equation: ( 3x2 - 2xy + 3y2 ) dx = 4xydy

A: When a function fx,y can be written as ϕyx, the function is referred to as a homogeneous function. A…

Q: Which of the following is a solution to the differential equation: ydx + xdy + xy(3dx + dy) -0? -Cxy…

A: Explanation of the answer is as follows

Q: What is the for the exact differential equation (3ry - 5x4) dr + (y+ 3ry) dy =0 A) 9xy B) 9xy ry D)…

A: The given differential equation is 3x2y3-5x4dx+y+3x3y2dy=0. Note that 3x2y3-5x4dx+y+3x3y2dy=0 is of…

Q: For what values of r does the function y=erx satisfy the differential equation: 7y"+48y'-7y=0 ?

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Q: Which of the following differential equation has a solution of In(y) = G e* + C2e*

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Q: Q1- Find the solution of the following differential equation d²y dy +2+y = 0 dx 4x- dx²

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Q: Find a general solution for the given differential equation with x as the independent variable. у" -…

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