(a) (e* +In (y ))dx ++1 dy = +1 dy = 0 , y (In (2)) =1

Q: dy - sin x - y tan x = 3 e dx solution of differential equation is %3D

A: Introduction :

Q: Solve the partial differential equation of Lagrange’s form y^2 zp-x^2 zq=x^2 y.

A: We will solve the pde using lagrange's auxiliary equations.

Q: Find the differential equation (Family of Curves): Strophoids : y2=x2((c-x)/(c+x))

A: If a equation consists of n arbitrary constants then the differential equation of the given relation…

Q: Solution of differential equation xy' - y = 0 (y' = dy/dx) is...

A:

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

A:

Q: What is the integrating factor for the linear differential equation 2(y - 4x^2) dx + x dy = 0?.

A: Given:  2(y - 4x^2) dx + x dy = 0

Q: Find the differential dy of y=√x. Show complete solution

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Q: dy + ycotx = 1 dx 2.

A:

Q: 4. The differential equation (2x + 3y - 1) dx + (2x + 3y +2)dy = 0 represents non-parallel lines %3D

A: Given that: (2x+3y-1)dx+(2x+3y+2)dy=0

Q: dy 8. = dx 1 x+y+1

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Q: A solution to the partial differential equation. 9. is dy?

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Q: from the partial differential equation by eliminating the arbitrary function z=(x2+y2+z2)

A:

Q: fx' = 9x + 7y ly' = 2x + 2y

A: We see that x'y'=9722xy. 9722The eigenvalues of A are the roots of the characteristic equation…

Q: From the partial differential equation by elimanating the arbiraty function z=f(x2+y2+z2)

A: We have to form the partial differential equation.

Q: What is the particular solution to the differential equation with the initial dx condition y(-2) =…

A:

Q: Classify the first order differential equation .9 y = (y – 2) X اخترأحد الخيارات Separable…

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Q: In a differential equation where y is the dependent and x is the independent variable and the…

A: In a differential equation where y is the dependent and x is the independent variable and the…

Q: What is the particular solution to the dy dx differential equation initial condition y(-3) = 2? with…

A: here is the solution

Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

A:

Q: What is the linear differential equation of dy/dx+2xy+xy^4=0 using dv/dx?

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Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

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Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: Is the differential equation x" + e^x - 1 = 0 conservative or non-conservative? Explain why? If it…

A: Given x''+ex-1=0

Q: ① Solveing dy - - x dx = 。 ㅎ

A:

Q: What is the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0?

A:

Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: (b) Find the complete integral of non-linear first partial differential equation Oz. + y = qz.

A:

Q: dy Show that y 1 - + 2 is a solution of differential equation dx 1 -

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Q: 21. Find particular solution of the differential oquation-2(x+ 1) Y.given x 0,

A: Givne that  The differential equation  To find the particular solution of the differential equation

Q: Find the differential equation of the family of circles with center at the origin. a+x y = .2 x'+1

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Q: Differential s of the form

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Q: The integrating factor of the differential equation 2xy dx + (4y + 3x^2) dy = 0 is . Does not exist

A: Ist question was incomplete I have to do the second question Please repost ist question correctly

Q: Find the differential equation of the family of parabolas with vertex ar Focus on the x-axis * O y =…

A: We have to find

Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

A:

Q: In the differential equation (2x+3y-5)dx+(3x- y-2)dy=0, the lines 2x+3y-5 =0 and 3x- y-2 =0…

A: This question can be solved using the concept of solving two linear equation.

Q: 1. (х — у)dx + хdy %3D 0

A: 1) Given:            x-ydx+xdy=0           xdy=y-xdx           dydx=y-xx  set y=rx…

Q: Find the solution of non linear partial differential du equation ди = U бу dx

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Q: 7: From an integral equation corresponding to the differential equation d²y dx² dy - sin x- +exy = x…

A: What is Integral Equation: Like differential equation, there is also integral equation. In integral…

Q: Jesaki Inc will sell N units of product after spending $x thousand in advertislhg, as en by N = 74…

A: The given data is: N=74x-x2 To use differential approximation to estimate the increase in sales that…

Q: Explain in detail the use of partial differential equations in the application of heat transfer

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Q: Form the partial differential equation by eliminating arbitrary function from z = e" f(x – y)

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Q: The formation of the partial differential equation by eliminating arbitrary constants a, b from the…

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Q: particular solution to the differential equation \frac{dy}{dx}=(x−3)y with the initial condition…

A: Given differential equation  dydx=(x-3)y also y(0)=2.

Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if…

Q: Classify the partial differential equation +34 = sin(3x + 4y).

A:

Q: How do I solve this non-exact DE (4x+3y-7) dx+ (4x + 3y+1) dy=0?

A: Consider the substitution, z = 4x + 3y

Q: What is the integrating factor for the linear differential equation xy' – 2y = x?

A:

Q: Discretize the differential equation y " – 3y' – y = -3t, y(-1) = 0, y(1) = 0 with step-size h %3D

A: Given: y''- y' - y =-3t, y(-1)=0 and y(1)=0 with step-size h =25

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.