Q3 /Write Only the (Order and Degree) of the following differential equations a) (d'y/dx')23 - 3(dy/dx³) + 5(dy/dx) + 4 = 0 b) v(dy/dx) - 4(dy/dx) - 7x = 0 c) v(1 + (dy/dx)") = d'yldx?

Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

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Q: ô’y (ô²y 3. 3 ôx = 0 ôx?

A: 3.Due to third order partial derivative, order is 3, and the power of this term is 1 so degree is 1.…

Q: + x° sin (x) 2. x dy XP Integ mating Factors

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Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: From the differential equation by elimanating he arbitary function f from xyz=f(x2+y2+z2)

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Q: A differential equation involving derivatives of the dependent variable with respect to only one…

A: To find the sentences are true and false from  differential equations.

Q: 4. Show that both x₁ (t) = et cost and x2(t) = et sint are solutions to the second-order…

A: To show that both x1t=e-t cos t, and  x2t=e-t sin tare solutions to the second‐order differential…

Q: The order of the differential equation of all circles of given radius a is: 3 2

A: Let's find.

Q: An object of mass m falls from rest and its velocity v given by dv =mg - kv v(0) =0 dt -- where k is…

A: Consider the given equation. mdvdt=mg-kv Further, simplify and make for integration.…

Q: (3) y = ln¯' væ

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Q: For this question, please consider the nonlinear partial differential equation ux3 + uy3 = u2.…

A: Given : ux3+uy3=u2 To Find : (i)complete solution                (ii) ux ,0 =x+1327

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

A: The solution is given as

Q: Write down all possible methods in which the (х- differential equation 2x = 2y) dx/dy can be solved.…

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

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Q: 5. y" + y - sec z tan z

A: Given that, The DE is following, y'' + y = secx tanx We have to find the general solution of this…

Q: What is the differential equation of the orthogonal trajectories of x3 = Cy? www (1) 3xdx + 2ydy = 0…

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

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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: 5. Obtain the Differential Equation from the family of vertical parabolas whose vertex is at (h,k).

A: Formation of the differential equation

Q: Use separation of variable or homogeneous equation to get tye general solution for each differential…

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Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

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Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: The integrating factor of the linear first order differential equation dy dx sin2x- y+tanx Oa None…

A: The standard formula for the linear differential equation is dydx+P(x)y=Q(x). Here, P(x), Q(x) are…

Q: 4. y" +2y'+ = cos a COS

A: We will solve the problem

Q: Find the solution of second order Cauchy-Euler differential equation using Wronskian method for…

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Q: 2. dx + 2x dy/y 2x2 y2 dy

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Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation.

Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

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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: Differential equation in Q3(a) is added with 4e* and 10e* as Y, =6y, + y; +4e* Y, =5y, +2y; +10e"…

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Q: Classify the differential equation 4 4 4 = 0

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: 1 y" + 3 y' + 2 y 1+ et

A: Given differential equation is as below:

Q: If the family of curve has 3 arbitrary constants then the corresponding differential equation is a)…

A: See solution below

Q: These equation classifies by dy 3 +5x y dx' tan x dx Ordinary Differential Equation O Partial…

A: By see tha solution of this question

Q: الموافق Find the general integra) of the differential equations with dottedf v ariables : ト 3) (++y)…

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

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

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Q: What is the differential equation of family of parabolas with vertex on the x – axis and axis…

A: General equation of parabola parallel to y-axis and having center (h, k) and having distance 'a'…

Q: Determine a region of the xy-plane for which the differential equation = y – x² would h dx unique…

A: Given, the differential equation                               dydx=y-x2

Q: If the family of curve has 4 arbitrary constants then the corresponding differential equation is c)…

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Q: Determine a region of the xy – plane for which the given differential equation has a unique solution…

A: A differential equation is given by, xy-3y'=1. The objective is to find the region of the xy-plane…

Q: 9. Use separation of variables to find the general solution of the differential equation. dy = sinx

A: y2 dydx=sinx sperate the variables y2 dy=sinxdx

Q: Determine the general solution of the given differential equation that is valid in any interval not…

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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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Q: ху' — 2у + 2 y — хе*

A: The Cauchy-Euler second order nonhomogeneous differential equation is ax2y''+by'+cy=h(x). Where a, b…