Find дхду of z = In(x² – y)

Q: For what value of x will the curve y = x3 – 3x2 + 4 be concave upward?

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Q: Find the antiderivative of xe2x/(1+2x)2 from 0 to 1/2

A: Given the integral ∫012xe2x1+2x2dx

Q: Given f(x) = 8x3 + In(x – 1). Estimate the value of f(2.01) using differential. %3D

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Q: Determine the differential coefficient of y= V3x2 +4x -1

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Q: 2. Express the general solution in terms of Bessel functions: 4x²y" – 4xy/ + (16x² + 3)y = 0

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Q: dx x² V4 – x?

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Q: (a) Apply first principles, to calculate the differential coefficient of (x) = 5(3x²+2) when x = 3.

A: Solution a: Given function is f(x)=5(3x2+2) using first principle…

Q: 3. Solve for the values of "x" in the equation f (x) = x +, using (a)Bisection Method, %3D (b)Secant…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Express the solution of the equation 4.x²y" – 8xy' + (5 + 64/x*)y = 0 in terms of Bessel functions.…

A: Use the Bessel equation,  x2y"+1-2dxy'+β2r2x2r+d2-n2r2y=0  Identify the values of unknowns.

Q: (2 dr z²–10z+15) Integrate:

A: NOTE: Refresh your page if you can't see any equations. . take long division

Q: Find the general solution for y''=2t+3 by direct integration and by the method of undetermied…

A: Given that      y" = 2t + 3 Here we have to find the general solution by direct integration and by…

Q: Determine (4x³ + 3x2 + 5) from the first principle when x = 2 Determine the differential coefficient…

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Q: 4. Find the positive root of the equation correct to 3 decimal places, using Newton-Raphson method…

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Q: Find the simplest integrating factor u(x) of - xy' = (8x + 9)y + x In(x). µ(x) = %3D

A: As the given equation is an first order differential equation ,we can find integrating factor.

Q: What is the general solution of the following ODE y' - (2y/x) = 3x3 Hint: Use integration factor…

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Q: 5. Use the properties of differential operators to solve for the product of (D+x²)(xD + 2)y

A: Given: D+x2xD+2y To find: Solution

Q: 2z+1 37 Prove the equation through integral calculatipns. dz < 5+z? 2

A: We will do the proof step by step.

Q: 2. Find the General Solutioh oG (əx -3y-2) dx-Cx-2y) dy =0

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Q: 1. Obtain the General Solution. Use reduction to exact. Simplify your fin y(y + 2x- 2) dx - 2(x +…

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Q: Find the general solution for y' = x – 4xy using an integrating factor.

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Q: at

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Q: (3) Integrate using an appropriate substitution 2e- -d.xc e + 3 x-

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Q: Solve the Ro liowing B E 2 X + 2 -zey= zX

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Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

A: I am attaching image so that you understand each and every step.

Q: Use Picard's method of successive approximation to solve the equation 1+ xy, y(0) - 1 at x-0.1.

A: The solution of the differential equation is defined as the function that satisfies the equation.…

Q: Solve by finding an integrating factor which has non-exact ODE and also find integrating factor from…

A: The differential equation is given as (xy2+y)dx-xdy = 0                        (1) Let the…

Q: solve the DE:   (2y^3-x^3)dx+3xy^2dy=0 ; y(1)=1 using 3 methods.

A: Let's find.

Q: Solve using the integrating factors by inspection (y²-3-x) dy + ydx =0

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Q: Find the general solution of the following DE by finding an integrating factor to maket eact Hint:…

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Q: - (v + x³ + xy®)dx – xdy = 0.

A: To solve the given differential equation.

Q: Solve the differential Egueations Zydx - (3xy*dx- xdy =0 When

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Q: Q1: Use Newton - Raphson method to estimate the 3 Voot of fcx) = x -X - 1, e mp loying an initial…

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Q: Show that 3x2 +6x +2 = 3 (x+1) - by completing the square. Hence, evaluate the 2 integral dx. V3x? +…

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Q: sin(2t + ) dt JT 2 e2t-3 -3 4 e3 7 7 64e3 7 8. 5 4 4

A: Proceed as shown

Q: Solve the disfertial equation xy' -Y =Xtan ) %3D

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Q: x²-2x* 5. Integrate with respect to x x4

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Q: exact method: (3xy3 + 4y)dx + (3x2y2 + 2x)dy = 0

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Q: Obtain the solution using Integrating Factors Found by Formulas. xydx - (x² + 2y²)dy = 0

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Q: The result of the integration sign(t-t)6(2r- 1)dr is 1 А. B. sign(t- C. 8(2t+1) D.sign(t +)

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Q: Eliminate the arbitrary constants x = -ln t , y = at + bt^2

A: given  x=-ln t , y=at+bt2 claim- to eliminate the arbitrary constants

Q: Solve the differential equa 5. y' = 2x?y – 4y %3D

A: The solution for the asked question is given as

Q: -X y" + 2y² + y = €²² ln x e^

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Q: Use the eliminatiun methoel t. 2こhoxet,htX differential equations

A: We can write the given system of differential equations as below: 2D-1x+D-1y=e-tD+2x+D+1y=et We have…

Q: Q.4 Using the method of substitution the integral fxer-3 dx

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Q: how can i derive this equation in 3 D? *be aqy ay az at Əx

A: Taking heat in three dimensions (I) Net amount of heat conducted into dxdydz per unit time.…

Q: Solve the differential eavations ydx xdy = 0 x' +y° +y?

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Q: prove using the IVT. e^x + ln x = 0 has a solution.

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Q: 3. Express the general solution in terms of Bessel functions: z²y" + 4ry' + (x² + 2)y = 0

A: Thanks for the question :)And your upvote will be really appreciable ;)