Solve the differential equation 1. x³y" – 2a²y" + 6xy' = ,2, x(2 ln x + 1). -

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y=ae +be¯ª.

A:

Q: 1. Solve the linear differential equation of y' – 2xy = = X. swer:

A:

Q: Solve the differential equation dydx = 5cos(x)y

A:

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: 5.Find the general solution of the differential equation y'=x-y+3/x-y

A:

Q: 3. Find the general solution y = Yc + Yp to the differential equation. Use the uppercase letters C…

A:

Q: 20.Find the particular solution of the differential equation x (+1) - x-2y, given x -1 when y = 3

A:

Q: When solving the nonhomogeneous differential equation y" - 4y' + 4y = x by undetermined coefficients…

A: To solve the following problem

Q: find the solution of differential equation y' = 1+ e*-y

A:

Q: 1. Solve the differential equation: xy' – y = 2x In x

A: Use linear differential equation concept

Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''=4

A: Solution :--

Q: Find the general solution of the first order differential equation (x+2) y′ + 4y = (3x + 6)-2 lnx.

A: Given: x+2y'+4y=3x+6-2lnx for finding solution of given differential equation, first we convert it…

Q: Solve the differential equation x y' = In x-3xy with initial-value y(1) =2.

A:

Q: Solve the differential equation with the appropriate method. Finalize answer equated to y.…

A:

Q: 5. Use a substitution to solve the nonlinear differential equation: (y + 1)y" = (y )²

A: We have to evaluate: (y(x) + 1) ( d^2 y(x))/( dx^2) = (( dy(x))/( dx))^2:Treating y as the…

Q: xy"+y'=0; y1=ln(x) How can this second-order differential equation be solved by general solution?

A:

Q: (D² - 1)y= 2 1+ex

A:

Q: 2. Test the exactness and obtain the general solution of the differential equation: 2+yexy y' =…

A:

Q: 2. Solve the differential equation dy -e2y-cotx tan x dx

A: On differentiating the given equation, tan2 x.dydx=e2y.e-cotxe-2ydy=e-cotxtan2x.dxLet, cotx=t…

Q: form the differential equation corresponding to (y-b)2=4(x-a)

A: (y-b)2 = 4(x-a)

Q: 5. Solve the differential equation with method of undetermined coefficients. y" + 2y' – 3y = x + cos…

A:

Q: 5. If the characteristic equation of the differential equation 27 - 184 dx +8- y-0 is dx 27m -18m…

A: The characteristic equation of the given differential equation is 27m4-18m2+8m-1=0.

Q: 2ydx = (x2 – 1)(dx – dy)

A:

Q: 11. Solve the differential equation y+y = 0 using power series.

A: In power series method is used to find a power series solution to given differential equation.

Q: Find the solution to the differential equation dy/dx= (11xy)/((lny)^2) which passes through the…

A:

Q: Find the general or Special Solution to the differential equation 2 y = (x-y₁²

A:

Q: 2.Form the differential equation from the family of curves y² = Ae³* + Be* , where A and B are…

A:

Q: find the solution of differential equation y' = 1+e-y

A:

Q: Yp = -1 / 5ex - 1/2 (cos 2x) ((ln (sec2x + tan2x)) is the particular solution of the differential…

A: A solution yp(x) of a differential equation that contains no arbitrary constants is called a…

Q: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

A:

Q: 7. Solve the differential equation dy dx Va - y

A:

Q: x" – 5x'+4x =17 sin t+3e.

A:

Q: 2. Solve the differential equation- + x, with y(1) = 1.

A:

Q: 7) Solve the differential equation. (ev – 1)y = 2 + cos x -

A: Given: ey−1y'=2+cos⁡x ⇒ey−1dydx=2+cos⁡x ⇒ey−1dy=2+cos⁡xdx Now to solve the given differential…

Q: Solve the differential equation = 4x – 2y by using the substitution u = Ax + By +C. dx The resulting…

A:

Q: find the solution of differential equation 2 y3 y' +- y

A:

Q: 3. Find the particular solution to the differential equation (y + 5)(x+2) if the %3D dx solution…

A:

Q: 26. x" +9x =5 cos , x(0) =0, x'(0) =0.

A:

Q: Solve (first order linear differential equation): y'-3x2y=ex^3

A:

Q: Solve the differential equation = 4x+3y by using the substitution u = Ax+ By+C. The resulting…

A:

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = a sin æ +…

A:

Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: 3) Find the solution of the differential equation y = -ry + (/')².

A: The given differential equation is. y=-xy'+y'2                                .........1 This can be…

Q: For the differential equation y" --y' --= 0, find a particular solution which satisfies the initial…

A: To find the particular solution for the given differential equation which satisfies the initial…

Q: 5. Obtain the solution to the differential equation 会-2-2-3-2=0 dx

A:

Q: 1. Solve given separable differential equation: y' + 2x(y² - 3y + 2) = 0

A: Let us consider the differential equation of the form  dydx=f(x)g(y) Solving the equation using the…

Q: (5) Solve the differential equation by variable dy separable x°y- csc y dx

A: A separable differential equation is any equation that can be written in the form y′=f(x)g(y). The…

Q: 1. Solve the differential equation (3xy – 4y2)dx + (x2 – 4xy)dy = 0 -

A: Given differential equation is  (3xy-4y2)dx+(x2-4xy)dy=0 This is of the form  M(x,y)dx+N(x,y)dy=0…

Q: 4. Solve the differential equation y" + 5y = - csc V5x CSC

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.