(2x+3y-5) dx + (3x-y-2) dy=0 hint: Case 2

Q: Solve the given differential equation by separation of variables. dy xy + 3x - y - 3 dx xy - 2x + 4y…

A:

Q: ye2xdx = (4 + e2x)dy %3D

A:

Q: Find the general solution of the differential equation using any method            dy / dx = √(4 −…

A:

Q: - y' = y – xy³e-2x

A:

Q: For the differential equation x-4y"-2y'+y 0, the point x = -2 is Select the correct answer.

A: One distinguishes the following cases: Point a is an ordinary point when functions p1(x) and p0(x)…

Q: .x = y + dy dr X2 - y²

A:

Q: Find the solution of following differential equation x²y dy – y²x dx = 0

A:

Q: A particular solution of the differential equation ,"-3y'-4y = e* 4x 1S , = xe* /5

A:

Q: Solve the differential equation listed below:

A: Separate the variables

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

A:

Q: Find general solution to the differential equation A-2xy'= 3y

A:

Q: Solve the given differential equation by separation of variables. dy eY + e dx -5x - y

A: Solve Differential equation by variable separable method

Q: The solution of the differential equation dy dx 6. is 6x + C 6lnx + C | 4 6x + C 5 6lnx + C 2

A:

Q: Solve the given differential equation by separation of variables. dy e -7x - y + e dx

A: To solve the given differrntial equation by using separation of variables.

Q: Solve the given differential equation by separation of variables. dy 5x +3y dx 1 5x

A: The given differential equation is                                                     dydx=e5x+3y…

Q: In the given question , determine whether the function is a solution of the differential equation…

A: We have given y=3e2x-4sin2x Then,…

Q: Solve the given differential equation by separation of variables. dy - xy + 3x - y - 3 dx xy - 4x +…

A:

Q: Solve the given differential equation by separation of variables. xy + 5x - y -5 xy - 2x + 6y - 12…

A:

Q: Find the particular solutions for the following differential equation: y`+2xe^-X^2=0, y(0)=4

A:

Q: 5. Find the solution, using variation of parameters, to the differential equation (D³ + D)y = sec²x.…

A:

Q: Find a general solution to the differential equation. 1 ' + 4y = 2 tan 4t – - e 2t

A:

Q: Find general solutions of the differential equation       3y+x^4y'=2xy.

A: This can be solved using the standard format: dy/dx + P(x)y = Q(x)

Q: y!V – y"'+ 2y' = 0

A:

Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 0

A:

Q: This is a second order differential equation, Give the complementary solution? xy"-2xy+2y = 2xe

A:

Q: Find the solution, using variation of parameters, to the differential equation (D3+D)y = sec2x.

A: Given :- The given differential equation is  D3 +Dy = sec2x Let the equation be  d2ydx2 +Pdydx+ Qy…

Q: Given the differential equation 2 +5 , find the particular solution, y = f(x), 3y with the initial…

A:

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: The complete solution to the nonhomogeneous differential equation (D^3 + D - 10)y = 116e^(4x), is *

A: Explanation of the answer is as follows

Q: find the solution of this differential equation (x + 2y − 1)dx + (2x + 4y − 3)dy = 0

A:

Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

A:

Q: find the general solution of the given differential equation. 5.y″ + 2y′ = 3 + 4 sin(2t)

A:

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

A:

Q: Solve the given differential equation by separation of variables. xy + 7x - y - 7 xy - 2x + 8y - 16…

A:

Q: Solve the given differential equation by undetermined coefficients. y"' – 3y" + 3y' - y = x - 3e*…

A:

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: 4(3x+y-2)dx-(3x+ y}dy=0 %3D 3.

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: a. Find a particular solution to the nonhomogeneous differential equation y" +4y' + 5y = -10x + 5e…

A:

Q: Solve the differential equation as follows: (3 + 5x?y³ + 4xy* + 3y³)dx + xy²(3 + 4xy + 3x)dy = 0

A: To solve the differential equation as follows: 3+5x2y3+4xy4+3y3dx+xy2(3+4xy+3x)dy=0

Q: Find the general solution of the given second-order differential equation. у" + бу' + 9у %3D0 y(x) =

A:

Q: find the solution of this differential equation: xdy − ydx − xy^3 dx − xy^3 lnxdx = 0

A: Given differential equation: xdy−ydx−xy3dx−xy3logx dx=0 y'=yx+(1+log(x))y3

Q: Solve the given differential equation by separation of variables. dy xy + 6y-x-6 = dx xy-7y+x-7

A:

Q: Find general solutions of the differential equation    y'+3y =3x^2e^-3x

A: y'+3y=3x2e-3x Comparing with y'+Py=Q, we get P=3  &  Q=3x2e-3x Now integrating factor is,…

Q: Find the General Solution of the given differential equation. Solve (D< + 4)y=sin 3x

A: The given differential equation is D2+4y=sin3x. The auxiliary equation is m2+4=0: m2+4=0m2=-4m=±2i…

Q: Solve the differential equation as follows: 8x(x² + 3xy + y-1)dx + (28x³ + 5x*y¬'+ 6x²y=² + 6y¯z)dy…

A:

Q: Solve the given differential equation by separation of variables. dy X- = dx 8y Cx8 X

A: We have to solve the differential by separable method

Q: 2. Solve the given differential equation by undetermined coefficients. y" + 2y = 2x + 9 – e-2x

A:

Q: Solve the given differential equation by undetermined coefficients. y" + y" = 8x2 y(x) = %3!

A: The solution is given as