Solue (x+1)y" + xy -y =0 ; yco)2, 4'c0)= i ginen that either e* or e-x is a solution of (x+D y" + xy'-Y=0._

Q: y' = 2x y+a²y? y(0) = -2

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Q: 17. √16-e² -dx

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Q: Evaluate the constant of integration for the separable differential equation x dx + 6y^5 dy = 0 if…

A: Given a differential equation, xdx+6y5dy=0

Q: 4. The area of the region between the curve y=x and the line y=4 is divided into equal partitions by…

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Q: -Svau Using Integration By Parts, x Arcsec 3x dx = uv- - Svau- Find uv- x² Arcsec 3x dx V9x2 – 1 o 1…

A: Here we have to solve the integration by using integration by parts.

Q: 2. (х — 4y — 3) dx — (х — бу — 5) dy %3D 0

A: Here, we have to solve differential equation 2,

Q: Use separation of variables to find a solution of the partial differential equation - 2 = 0, with…

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Q: sin zsiny de + cos zcosydy = 0 is a variable separable differential equation.

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Q: the line y 3. Find the volume óf the 2 65. Express in partial fractions. Hence, or otherwise, solve…

A: according to our terms and condition i have solved Q65 for next question repost

Q: Don’t use formula to solve. Use a technique.

A: We have to integrate this integral:

Q: 4. The area of the region between the curve y=x* and the line y%3D4 is divided into equal partitions…

A: Given curves are y=x2 and y=4.Also given that y=c divided into equal parts of the area.

Q: Use integration to find the particular solution of the differential equation dr which passes through…

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Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

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Q: the line y = 3. Find the volume of the solid of revolution obtained. 65. Express in partial…

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Q: In(2 x) dx =; x³ In( 2 x) - +C x e dx = -2 (2 +x) e +C

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Q: on of y' =x+x 1 +.

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Q: S Vtan x sec“(x)dx Evaluate the integral a

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. In a large tank there are 1000 gallons (gal) of water with a concentration of 1 pound (lb) per…

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Q: 4) Sarccotx dx Compute the integral by the partial integration method.

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Q: Y"+y'=secxtanx by using Annihilator methode

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Q: 3(1+x²)-1/2, y(C

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Q: 3. (2х + 3у— 1) dx + (2x + Зу + 2) dy %3D 0

A: The given differential equation is,…

Q: 24) Using Numerical Integration to estimate area between curve (y=2-x²) and line (y=-x), with n=3

A: We have y=2-x2, y=-x then intersection point is -x=2-x2 ⇒x2-x-2=0 ⇒ x2-2x+x-2=0 ⇒ (x-2)(x+1)=0⇒x=-1,…

Q: Determine the longest interval in which the given initial value problem is certain to have a unique…

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Q: From the partial differential equation by eliminating the arbitary function f anf g from…

A: We have to eliminate from the arbitrary function f and g For this we will differentiate of z with…

Q: Define partial differential equation. Form the partial differential equations of the followin…

A: To find the partial differential equation of the below functions.

Q: volume of solid of as revolution y^2=4x and x^2=4y about the x axis

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Q: Use integration by parts to show )dy.

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Q: When do we use the method of substitution in integration? and is the "u-susbtitution" similar to the…

A: The Method of Substitution:The method of substitution is used in integral when it contains…

Q: 5. (2х + Зу— 5) dx + (3x — у — 2) dy 3D0

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Q: 2. se integration by pacts to eval integralig x² In (3x)dx niz

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Q: What is the appropriate μ(x) integration factor of the equal linear differential equation?…

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Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: We have to find solution

Q: Double of Integration of square root of 25-x²-y² with respect to x bounded by (0,3) and with respect…

A: The given integral is

Q: 1 dx x /1 – (In x)² 1

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Q: Uygulamayı bitir d'y dx +25 +2y% = General solution of %3D dx cos x differential equation

A: The general of a non-homogeneous ordinary differential equation a(x)y''+b(x)y'+c(x)y=d(x) is:…

Q: The full solution y is obtained by adding the complementary solution to the particular integral, y =…

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Q: 4. Triple Integration Evaluate the equation below 1 - In y ex+y+z dx dy dz

A: Given: ∫01∫0z∫0ln yex+y+zdxdydz

Q: Give necessary and sufficient conditions for p(x)/q(x) to be an immediate integral (do not use the…

A: We want a function of the form

Q: A) Find volume of body from above Z=1-y² and below Z = x² using Triple integration. B)Solve the…

A: The given problem is to find the volume of the region bounded by given planes by using triple…

Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

A: Let the amount of sugar in the tank is "y" at any time t. Given information Tank initially contain…

Q: lve (D² –1) y =(x³ +2x² +x+6)e²* using differential operators method.

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Q: Use the initial condition to find the particular solution of the differential equation. Differential…

A: topic - differential equations

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: Svaluate x dx from the definition of RS-integral.

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Q: The kind of =y is: ax Ordinary Differential Equation(ODE) A Partial Differential Equation(PDE).B O…

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Q: Classify the critical points of the plane autonomous system corresponding to the second order…

A: The order of a differential equation is the highest derivative present in it. If a differential…

Q: 5. Integrate using an appropriate integration technique. a) ⌠ex sin(ex) dx b) ⌠sin3(2x) cos3(2x) dx

A: use substitution method for finding  integral

Q: IT Evaluate the proper integration from 0 to 4 of arctan x. Leave your answer in terms of r.

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Q: What is the appropriate integration factor of the given 1st order linear differential equation?…

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