az = 0 ду 4(z, 0) = 4 · e-z

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

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: Find the Differential equation by eliminating the arbitrary constant  x2-y2=a2

A:

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: Give an example of a linear, nonseparable differential equation.

A:

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

A: Given y'=x+yand u=x+y

Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

A:

Q: A chemical reaction is governed by the differential equation

A: Given, the differential equation                           dxdt=K(3-x)2 where x is the concentration…

Q: Which curve solves the differential equation and passes through the point (0,1)?

A: Using variable separable for solve differential equation.  Let -x2=t then taking integration on both…

Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

A:

Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

Q: The solution of the differential equation using variable separable  dydx+7secy=

A: To find the solution of differential equation dy/dx+7secy=0

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

A:

Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

A:

Q: What is the appropriate method to find the general solution of this differential equation?

A:

Q: Form the differential equation by eliminating arbitary constant  y=Ae-3x+Be2x

A:

Q: Determine the general solution of the differential equation

A:

Q: Find the general solution of the differential equation.

A:

Q: Verify that the general solution satisfies the differential equation. Then find the particular…

A: Differentiating the given genaral solution we can verify if the solution satisfies the differential…

Q: Solve the general solution of the second order linear differential equation with constant…

A: rewriting the equation we get  y'-1t2-1y2=-1t2-1

Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

Q: Solve the differential equation using variation of parameters

A:

Q: Solve using the undermined coefficient of differential equation

A:

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

A:

Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: m the differential equation by eliminating arbitary const

A: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: Vyy" – 1 = y'

A: Given DE is  √(yy''-1) = y'' ......(1)

Q: Solve the differential equation by undetermined coefficients (annihilator approach). y(4) + y" = 3x2

A: Please see the below picture for detailed solution.

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

A:

Q: the differential equation through the point (-1,2) and h(x) = 3x•f{x), then H(-1) =

A:

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: (D² − 4)y = 8e²x – 12 -

A:

Q: Find the solution of the differential equation system

A:

Q: у" - Зу' + 2у %3Dcos(e -*)

A:

Q: Find the solution of the system of differential equation

A:

Q: y' = ycotx + y²cscx

A:

Q: Solve the differential equation y'=secx-ytanx

A:

Q: yu+y=be" +bsinne +bsine.

A: Given DE is y”+y=6ex+6sinx solve the DE

Q: Solve the differential equation by undetemined coefficients y" – y' = -3

A: Solution- Given y''-y'=-3 ⇒dy2dx2-dydx=-3-----(1) dydx=m ⇒m2-m=0⇒m(m-1)=0m=0, m-1=0≠m=1 Distinct…

Q: Find the Differential equation by eliminating the arbitrary constant x2 - y2 = a2

A:

Q: Form the differential equation by eliminating constants a and b from y = a(b – x)(b+x) + 56.

A:

Q: .Determine the differential equation by eliminating arbitrary constants and also write the order

A: Given: y=c1x+c2x+x3-7x2+27x-60+60xex                                                 Equation 1 On…

Q: Describe how to solve a first-order linear differential equation ?

A: First order linear differential equation :-  lets take an example :- y=x2+2 dydx= 2x This is first…

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.