(4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª + be¯ª. %3D

Q: Solve the differential equation y' = x(y – 3) with initial condition y(0) = 1.

A: Solution :-

Q: show that function  y1=x-1 is a special solution of the differential equation y'=1 - ( y-x+1)2 and…

A: Given the differential equation y’ = 1 – ( y – x + 1)2 and we have to show that y  = x -1 is a…

Q: 3. y" - 2y" - у' + 2у %3D е4x + х2 +1

A:

Q: - In order to solve a Bernoulli Differential equation, we will first use variable substitution to…

A: Given that the statement is " in order to solve a Bernoulli Differential equation, we will first use…

Q: 5. Solve the higher order differential equation 2.xy" – y' + 2y=0.

A:

Q: Find the general solution of the given second-order differential equation. 6y" + y = 0

A: To find the general solution of  6y''+y=0

Q: Find the solution of first order differential equation. dx * (1 +2). +(1+ = 0

A: Given the first-order differential equation, dydx+1+yx=0  .......1 Let y=vx Differentiate both sides…

Q: Find the general solution for the first-order differential equation. dy dx 16x

A: We have to find general solutions of given equation.

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

A:

Q: Solve the Higher Order Linear Differential Equation: yiv – y’’’ + 2y’ = 0

A:

Q: Find the general solution of the given second-order differential equation. 6y"+y' = 0

A:

Q: Show that the function  y1=x-1 is a special solution of the differential equation y'=1-(y-x+1)2 and…

A:

Q: 4.Determine if the given function is a solution of the given differential equation

A:

Q: Find the general solution of the first-order linear differential equation. 8y xy = x-2

A:

Q: 18.Find the general solution of the differential equation %3D xp xy-y2

A: To solve the given differential equation, first we convert it into separable form, and then we find…

Q: a²u 3) əx2 dv 8- ду is a equation. 4) The order of a differential equation is the order of the

A: 3) Clearly the given equation is Partial Differential equation.

Q: 2 1. (D2 — 1)у 3 ех — е-х

A:

Q: One solution of the differential equation y''+y'=0 is y=e^-x. A second linearly independent solution…

A: We will find out the required solution.

Q: 3. Show that the differential equation (1 – 2y + x In a)dx + (e2v – 2x)dy = 0 is exact and find its…

A:

Q: Find the general solution of the first-order linear differential equation y′ − y = 10

A:

Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution.

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

A:

Q: 4(3х + у — 2)dx — (3х + у)dy %3D 0 -

A:

Q: The independent variable x is missing in the given differential equation. Proceed as in Example 2…

A: Given:y+8yιι =yι2   →1Let yι =u →Ad2ydx2=dydxd2ydx2=dudy=dydxd2ydx2= ududy →Busing Aand B in 1we…

Q: Find general solutions of the differential equation    (x^2-1)y'+(x-1)y=1

A:

Q: 11. у" - у" - у +у%3D0

A:

Q: The Differential Equation y'+y=e* has a solution y=(x+C)ex C is an arbitrary constant. IF TRUE, show…

A:

Q: solve the differential equation yy"+(y')^2=6yy'

A: We need to find the solution of the differential equation.

Q: Find the general solution of the differential equation

A: We have given differential equation drds=49r We have to find general solution of differenial…

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

A:

Q: What is the general solution of the first order differential equation a csc (2) - B| da + a dß = 0…

A: Given that first order diffrancial equation is αcosecβα-βdα+αdβ=0  function α=fβsolution…

Q: 1) (y = 1

A: As per our guideline we can solve maximum one question you can repost other questions

Q: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

Q: The solution of the differential equation y^'=-2xy is a family of solutions of

A:

Q: Find the general solution of the differential equation or state that the differential equation is…

A:

Q: 6, find the general solution of the given differential equation: y" - 5y + 4y = 2et (

A:

Q: Solve the differential equation: *=- 6x? + 2 with initial conditions (1, 10 ).

A:

Q: 1 The differential equation y' + x2 is separable. Select one: True False

A: Yes it is separable So it is true

Q: Find the general solution of the given higher-order differential equation. у" - 5у" - бу"%3D о y(x)

A:

Q: Find the general solution of the given third order differential equation. y" +y" – 2y = 0

A:

Q: The solution of the differential equation: y - = y? is

A:

Q: Solve the differential equation. xy' + y = 19Vx %3D

A: Given differential equation is xy' + y = 19x

Q: The number of arbitrary constants in the particular solution of a differential equation of third…

A:

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

A:

Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: 1. State the order of the given ordinary differential equation. Determine whether the equation is…

A: To see 2nd step

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

A:

Q: Find the general solution of the given second-order differential equation. бу" + у' %3D 0 y(x) =

A:

Q: Find the general solution of the given second-order differential equation. 5y" + y = 0

A: To solve the given differential equation.