Find the solution of the equation + y = e2", y(0) = dx Do not need to show your work, just write your answer below.

Q: y' + 3xeY = 0

A:

Q: dx x3 4. Зх2 + dy y+1 -8(у + 1) %3D 0

A:

Q: Solve dy/dx+1 =ex+y

A: It is a differential equation in form of changable in varibale sepration. So by using this method we…

Q: use appropriate substitution to solve differential equatio dy/dx-(2/x)y=-x^2y^3

A:

Q: 2x (y+ 1) dx – ydy = 0

A:

Q: Solve the differential equation using variation of parameters. d’y +y= sec³(x) dx

A:

Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: solve the differential equation

A:

Q: y" – y' = sint Solve the general solution of the differential equation by the method of change of…

A:

Q: Solve dy/dx = y -x with y(0) =1 using the linear multi-step method Yi+1 +(3/2)yı -3yı-1 +(1/2)yi-2 =…

A: First solve the given differential equation: Given : y'=y-xy'-y=-x The given differential equation…

Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: Solve differential equetion. = 8X+_5X dx 4-202

A:

Q: y(4) + 3y"" — 10y" = 0

A: Given differential equation y(4)+3y'''-10y''=0 To find the general solution, lets find auxiliary…

Q: 14.) x = C,coswt + C2sinwt; w is a parameter, not to be eliminated

A:

Q: Find the general solution of the Differential Equation. Indicate which rule you are using. y'' -…

A:

Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

Q: y(4) + 8y″ + 16y = 0

A: Given, y4+8y''+16y=0

Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

A:

Q: Using Bernoulli's equation, solve for the general solution of dy +y = 2xy²e*. Please show complete…

A:

Q: 3. xy dx + x²ydy = 0

A: Given- xy2dx+x2ydy=0 To Solve- The above differential equation.

Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) =

A: The given differential equation is: y''+y=sin2x

Q: 1+vx dx use u= 1+ V 1- use Vx

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

Q: 5. dx of y = (1+e-*)²/(1-e-*)

A: We need to find the derivative of the given function.

Q: solve homogeneous equation by linear method Tanx(dy/dx) + y = sec x

A: SOLUTION-

Q: 7) y = exz 8) y = 3 x ²

A:

Q: 25.y' — х — 4ху ; х—D0, у3D 1/2

A:

Q: dx Q2. Integrate

A: Given,I=∫1x2+15dx Consider x=tanu and u=arctan(x) then, dx=sec2udu…

Q: dy 1.- dx ах — by bx — су

A:

Q: Solve dy/dx +1= ex+y

A:

Q: Paragraph 12) S, dx Sx+7

A:

Q: A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man’s system…

A: Given , man takes 40 mg of medicine and each hour medicine decreases by 30%. We need to calculate…

Q: 6.) y' + (4/x) y- (x')ly) =0

A:

Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

A:

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: A heat-seeking particle is located at the point (2, 3) on a flat metal plate whose temperature at a…

A: A heat-seeking particle is located at the point 2,3 on a flat metal plate whose temperature at a…

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

Q: Solve dy/dx+1=ex+y

A:

Q: Obtain the general solution to the equation. 3. dx - (у — 2ху)dy

A: Topic - differential Equation

Q: solve for dy/dx

A: Given that: d. y=coth2x-13e. arctan(y-2x)=x-2y

Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

A:

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) = %3D

A: Given: Given differential equation is y''+y=sin2x We want to solve the differential equation by…

Q: y

A:

Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

A:

Q: DIFFERENTIAL EQUATION 2ydx = 3xy² dx+ xdy Whenx = 2, y = -2

A:

Q: x sin x dx = log y dy %3D

A: Let's find.

Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations

Q: Q1) Solve given differential equation using a variation of parameter method y" – y = 212 – t- 3

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.