y = Ae* + Be-*

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

Q: Formulate a differential equation that is satisfied by 1. y=Ae2+ Bxe2x 2x + Bxe2x

A: The given equation is: y=Ae2x+Bxe2x Formulate a differential equation that is satisfied by the given…

Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

A:

Q: What is the general form and standard form of exact differential equations?

A: Differential equation: A equation is that the linear combination of the variable quantity and…

Q: Create a third order, non-linear Ordinary Differential Equation with enough initial values to be…

A:

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

A:

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

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: In y = C₁e* + C₂е¯x

A: Given problem:- Find its differential equation through eliminating arbitrary constants.    In(y) =…

Q: What is the particular solution to the differential equation * + (1 + x)y = 12 with y 0 and = 0 when…

A: The solution is given as

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

A:

Q: az = 0 ду 4(z, 0) = 4 · e-z

A: To solve a differential equation using  variable separable or dividing the variable   Assume the…

Q: The Cauchy -Euler equation is a a differential equation with constant coefficients.

A: yes this is true because A second order Cauchy-Euler equation is of the form…

Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: Obtain the differential equation by eliminating all arbitrary constant.

A:

Q: Find the general solution of the differential equation

A:

Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

A:

Q: What is the difference between a particular solution and a gen- eral solution to a differential…

A: Our Aim is to tell the difference between a particular solution and generalsolution to a…

Q: (ye Cn2

A: Using the exactness property of differential equations.

Q: Show that y - In(x +1) is the solution of the differential equation of (1+ x*)y= 4x':

A: Use the formula below to perform the differentiation .

Q: Find the general solution of the differential equation.

A:

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

A:

Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it

Q: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

A:

Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

A:

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

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

Q: 11. у" - у" - у +у%3D0

A:

Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Which are the differential equations and initial conditions?

A:

Q: Solve the first order differential equation by separating variables.

A:

Q: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: Solve this exact and linear Differential equation in y.

A:

Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: Find a differential equation whose general solution is y = ciet + cze-4t. %3D

A:

Q: Determine if the function is a solution of the differential equation y''-y=0

A: y''-y=0 y'' represents the second derivative  we find the roots , by writing the given equation in…

Q: 3. Show that the differential equation zxy

A:

Q: What is the differential equation of the given 1 parameter family of solutions?

A:

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: Find the solution of the differential equation that satisfies the given initial condition.

A:

Q: Solve the given differential equation by separation of variables. y In(x) *- (1)* %3D Ap

A: Solution :-

Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: Find the ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

Q: 21

A:

Q: The roots of an auxiliary equation are m1=4, m2=m3=-5. What is the corresponding differential…

A: If the root of the auxiliary equation is m1=α and m2=β, then the corresponding differential equation…

Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

A:

Q: a. y = Ae-3x + Be2* . Derive the differential equation by eliminating the constants

A: here we have to go differentiating and substituting

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.