44. The integrating factor of the differential equation x dy + y dx x^2 dx is_. 1 O e^-2x O e^-2y Does not exist

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

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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: What is the general solution of the differential equation y" +4y= tan 2x? Oy C1 cos 2x + C2 sin 2a -…

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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: 9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

Q: (3nny-5x)dx+ 2x*cotydy = 0

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Q: 4. Obtain the Differential Equation from the family of curves of the form

A: We need to find the Differential Equation for the family of curves y=Cx for which we need to…

Q: What is of the differential equation (3 +y+ 2y sin² æ) dx + (x + 2xy – ysin2x) dy = 0 ? O 2x sin 2x…

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Q: The integrating factor of the linear differential equation + (tanx)y = x is, cost log(cosz) secr O…

A: Third option i.e. " secx " is the correct answer. Thankyou !

Q: Show complete solution Obtain the differential equation associated with y=Ae2x+Be2x+Ce3x

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Q: Classify the entangled differential equation and find its general solution. y′ = xcosecx + y cotx

A: The given differential equation is of the form of  linear differential  . General form of linear…

Q: Find the differential equation of all circles with radius 1 and centers on the line y = x.

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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: Q5/: Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: The differential equation ry" + 3y - 7y=seca is normal on any open interval not containing a = 0.…

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Q: Calculate the solution to the differential equation -ry 0 with bound- dr dy %3D ary values y = 1 and…

A: We have to find the solution

Q: Determine the general solution for each given higher order differential equation or particular…

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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: Find all the solutions of partial differential equation a²u = 250u Par?, by variable separable…

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Q: The integrating factor of the linear differential equation – (tanx)y = x is_ - O sinx O log(cosa)…

A: Given dydx-tanxy=x

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: 1. What is the integrating factor of the differential equation ydx – xdy = 0 using case 1?

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Q: al csc x y cotx

A: We have to find the intregating factor of given differential equation.

Q: What is the order of the lowest order homogeneous differential equation which has a particular…

A: Given particular solution y=x2+exsinx2 We have to find the order of the lowest order homogeneous…

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

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Q: 6. Why is it very easy to conclude that x2 dx diverges without making any integration calculations?

A: This question is taken from the calculus and sub-topic is improper integral in which we have to give…

Q: Write the general solution of (x² – x)y" + - 2x) y' -y = 0 about x = 0 of Hypergeometric…

A: Compare the given equation with the Hypergeometric equation of the form x1-xy''+c-a+b+1xy'-aby=0,…

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: What is the integrating factor of the differential equation y' =cscx-ycotx ?

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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: The solution of the first order linear differential equation y' + ycotx = cosx is O…

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Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

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: Sketch the slope field and some representative solution curves for the given differential equation.…

A: We are given the second order linear differential equation. y"=x+y. or  d2ydx2=x+y....(1) We need do…

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

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Q: Obtain the differential equation of the 5. Family of straight lines with x- intercept and slope…

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

Q: by

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

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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…