2xyy' + (x – 1)y² = x²e* |

Q: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

A: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

A:

Q: How do you test for the exactness of differential form?

A: given,      to test for the exactness of differential form

Q: Solve differential equation  [Sin(xy)+xycos(xy)+2x]dx = [x^2cosxy+2y]dy

A: GIVEN : (sin(x,y)+x y cos(x,y)+2x)dx+(x2cos(x y)+2y)dy=0 let P(x,y)=sin(x,y)+x y cos(x,y)+2x  and…

Q: Use separation of variables to find product solutions of the partial differential equation, ди + əx…

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Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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Q: 3. Show that the differential equation dx is homogenous. Zxy

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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: Obtain the differential equation for the family of circles with center on the line x = 8.

A: The general equation for a circle can be written as

Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

Q: differential equation of the family of circles whose center is on the line y = 3x

A: Please refer to the image below

Q: USE EXACT DIFFERENTIAL EQUATIONS To SOLUE THE $OLLOWING: In dx-tn(x=2) 'पर्क - डेण बर =0 y dy dx 3D0…

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Q: What is the differential equation of the orthogonal trajectories of the family of curves y = Cx ?

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Q: what is the partial derivative of 2=Yytylnlxy

A: Given query is to find the partial derivatives.

Q: Form the partial differential equation by eliminating the arbitary function from z = xy + f(x² +y°)

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Q: Show that the solution of the differential equation (1–x*) = 2x(1+ y). dx 1+x given that y=1 when…

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

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Q: 1. finol Solution of the differential equatiou

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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: 5. Find the derivative of y = In(cos v3x + 2 ), by using chain Rule.

A:

Q: Eliminate arbitrary constant from z=(x-a^2)+(y-b^2) to from the partial differential equation

A: Given z=x-a2*y-b2Hence number arbitary constant is 2 and number of independent variable is 2 . So…

Q: Find the differential equation of family of circles tangent to the x-axis.

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Q: The differential equation corresponding to the family of curves y = Asin2x+ B cos 2x , where A and B…

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Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: 7. Find the differential dy of the function y = x (1-cos(x)). If the error in x is ", find the error…

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Q: obtained in factored form a linear differential equation with real constant coeffiecients that…

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Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation.

Q: 2. Use central difference approximations to estimate the first and second derivatives of y = e* at x…

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Q: Find the partial derivative. 4 = (x² + 6x – 3y)* - dz

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Q: Form the partial differential equation by eliminating arbitrary function from z=exf(x−y)z=exf(x−y)

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Q: Solve the partial differential equation of Lagrange's form  xy2p-y3q=-axz.

A: P p+ Q q=R z We solve partial differential equation by method of Lagrange's multiplier The…

Q: Find general solution of differential equation. Enter transient terms if any. x^2y' + xy= 7

A: Here we will find out the required general solution for given differential equation.

Q: Form the partial differential equation by eliminating the arbitary function from z=xy+f(x2+y2)

A:

Q: 6. Use separation of variables to find product solution of u(x, y) for the partial differential…

A: Given,            ∂2u∂y2=∂u∂x+xu                        (1)

Q: Obtain the differential equation of all circles with center on line y = -x and passing through the…

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Q: Find a differential equation of the family of circles with center on the line y = -x, and passing…

A: Let, the equation of the family of circles with center         on the line y=-x & passing…

Q: 3] Form the partial differential equation by eliminating arbitrary function from z = e® f(x – y) -

A: Given: Z=exfx-y

Q: Find the differential equation of all family of circles in which the center lies on the line y = -x…

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Q: Use variation of parameters to solve the differential equation x²y" + y = x. [Leave u₁ and u₂ in…

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Q: 6. Use separation of variables to find product solution of u(x, y) for the partial differential…

A: Given : PDE ∂2u∂y2=∂u∂x+xu To find : product solution of ux, y using separation of variables

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: Find y(1) for y" = - 4z - 4y, X, = 0, yo = 0, z, = 1, with step length 0.1 using Euler method (2nd…

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Q: 10.Anti-derivative of y(2y^2-3)^5

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Q: Find the differential equation of all family of circles with center at the line 3y - x = 0 with h…

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Q: Form the partial differential equation by eliminatiug erbitrary Goostant function from zze^ R lx-y)…

A: Partial differential equation

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are

Q: Obtain the differential equation of the family of parabolas with axis parallel to the x axis and…

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Q: determine the general solution of given non-homogeneous differential equations using different…

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