Solve the differential equatic y' = (x + y + 2)², Chart Area y(0) = 2 by setting u = x + y + 2.

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: Use integration to find the general solution to the differential equation: dx %3D y – 4

A: Given,         The differential equation is dydx=x-2y-4 .

Q: Given the differential equation of the family of circles with radius of 2 units and whose center's…

A: The equation of a circle is x-a2+y-b2=r2. Here, the center is a, b and radius is r. The abscissa is…

Q: order linear differential eq 22. y'+ 4y = x

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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 a particular solution Y of the nonhomogeneous differential equation y 00 + y 0 + y = 2 cost −…

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

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Q: Obtain the differential equation of the family of circles with center at point (h,k) and radius r.…

A: The equation of the circle having a center (h, K) and radius and radius r is given by:…

Q: Find the radius of curvature of y = x^3 at the point (1,1). (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: Obtain the general solution of the second order ordinary differential equa- tion y" +y= sec"(1)

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Q: . Separation of Variables: x(y +1)dx+ 2 dy = 0 .

A: To find solution of differential equation using variable separable method.

Q: An integrating factor for the differential dy + my = e-m² is dx equation

A: Given differential equation is dydx + my = e-mx

Q: Use integration to find a general solution of the differential equation             dy/dx = ex/(4 +…

A: Given ,           dydx=ex4+ex

Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: By separating the variables determine the solution of the differential equation xsin^2y…

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Q: Since dv = cos( cos9 x) dx, integrate the differential equation to obtain the function v. V = ^p -…

A: We have to find solution

Q: Solve for the differential of y when y= sinzx. x=-, and dx = - 3 2

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Q: Make the Non exact differential equation xy dx+(3y^2+2x^2−20) dy=0 to an exact differential…

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Q: (3) y = ln¯' væ

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Q: Obtain the differential equation by eliminating a and b from the rdation y=a cos 4x +b sin 4x

A: Given equation is y=a cos4x + b sin4x find out the DE by eliminating a and b

Q: determine the general equation using bernoulli differential equation siny(x+siny)dx+2x^2cosydy=0

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

A: The solution is given as

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

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Q: show Itat the differential equation メり dy - -2-ye" dx xーとリ Xe 29 its exact and find its Folution

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Q: Determine the equation of the curve passing through the origin in the from y = f(x) which satisfies…

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Q: Show that cos x is the integrating factor of the linear differential equation dy/dx= sec x+y tan x

A: Integrating factors are useful for solving ordinary differential equation  that can be expressed in…

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

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Q: Form a differential equation by eliminating arbitrary Function. Z= (x + y)f(x² + y² ) %3D

A: Given z = (x+y)f(x2+y2)zx+y = f(x2+y2)                             (1) Partially differentiate with…

Q: Solve the differential equation by separation of variables. Show your complete solution. 1. (x+2)y =…

A: This question is based on differential equation solution.

Q: y In(x) ln(y)dx + dy

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Q: 1. (2x + y – 1)dy + (4x + 2y – 3)dx = 0; when x = 1, y = 2

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Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

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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: Use integration to find a general solution of the differential equation       dy/dx = cos 2x

A: The given differential equation is  dy/dx = cos 2x.

Q: 3. ydx+(1+x)arctanx dy= 0

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Q: Obtain the differential equation of the family of curves described below. a. Circle of radius 1 and…

A: a) Given radius of circle r= 1 and center lies on y=x linewe know that circle equation is…

Q: find integrals of nonlinear partial differential equation by using Charpit's method a) 2zg –…

A: The Charpit's method is the method used to find the solution of Non-linear partial differential…

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

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Q: Find the Differential Equation of (sin2x-2ycosx)dx=2dy

A: First we compare given differential equation with dy/dx+Py=Q and find integration factor using…

Q: Find a particular solution Y of the nonhomogeneous differential equation y'' + y' + y = 2 cost −…

A: Given a nonhomogenous differential equation y''+y'+y=2cost-sint

Q: Find the differential equation of all sphere of radius 5 having their centers in the xy planes

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Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

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Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = C₁cos (0)…

A: Sol:- While solving the question , initial θ is considered as 't' At the end , we will replace t…

Q: Transform into first order linear form the differential equation sin 0 dr 2rcos0 %3D OP

A: First order linear form of the differential equation is:  drdθ+P(θ)·r = Q(θ) hare P(θ), Q(θ) are…

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

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Q: Since dv = cos( x) dx, integrate the differential equation to obtain the function v. =D A dv Cos( x)…

A: Since dv=cos8xdx, the first missing term is 8. Substitute cos8xdx for dv in ∫dv to obtain ∫cos8xdx.…