Q1. Solve the equation f \x/ = e* – x, using Newton Rapson's method.

Q: Obtain the differential equation associated with the given function: y = Cx² + c2.

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Q: Solve the differential equation with discussion of setet soluilon? X g -y = x yR lin (x) %3D

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

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Q: Solve the following differential equation (x + 1)- 2(x² + x)y = dx x+1 Maximum • Files

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Q: I. Solve the following manually using separable differential equations method. 4. (x³ + 2)y = x(y* +…

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Q: a. Classify and solve the first order differential equation y' = /2 +e'.

A: Answer  Linear differential equation is of the form         y'+Py=Q Where P,Q are function of t.

Q: Qs: Solve the fallow ing differential equations b) (x+j) dx - Xdy-

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Q: If S = 4πR2, find ∆S – dS when R = 2 and ∆R = 0.01. (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A: I am going to soslve the given problem by using some simple calculus to get the required result.

Q: Find what m equals given tyll-3kyloMyo the differential equation

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Q: Q2-A) Solve the following differential equation using separablemethod. dy 3x + 4x-4 2y - 4 dx

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (x + y – 5)²

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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: Solve the following differential equation by variation of parameters y" – y' = e* cos x cOS X

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Q: For what values of r does the function y= e™* satisfy the differential equation y"- 4y'+ 2y = 0?

A: for the homogeneous differential equation, the auxiliary equation is  compare this equation with…

Q: Solve the following Exact/Inexact Differential Equation. If it is inexact, then solve it by finding…

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Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate.…

Q: Q2: Solve the High order differential equation by using Operator Method y(4) – 6y" 5x

A: Here the auxiliary equation is m4 - 6m3 = 0

Q: of the differential equati

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Q: The number of customers in a store is modeled by the function P that satisfies the logistical…

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Q: f (x) = y = x³ +x– 10 = 0

A: Using Newton raphson method.

Q: x" (t) + x'(t) – 6x = te-tcos2t %3D

A: We use the method of undetermined coefficients to find the particular solution.

Q: Q2: Solve the High order differential equation by using Operator Method y(4) – 6y"" 5x

A: We have to solve the given problem by operator method.

Q: Find solution of the equation x2 = 17 by the Newton's method.

A: We find the solution of x2=17 by Newton's method.

Q: 3x =2 when x= What is the particular solution to the given differential equa

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Q: Q2/ Solve the differential equation by using the appropriate method y' = (x + y - 5)2 %3D

A: The solution of an ordinary differential in the form of can be found by the technique of separation…

Q: Find a particular solution to the differential equation f'(x) = . given that f(4) = 14.

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Q: y = Ax² + Be*

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Q: Solve the Linear Higher Order of differential equation using the formulas below. (D² – D + 3)(x In…

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Q: Solve the following differential equation by using integrating factors. You may assume that * > (x +…

A: To solve the given differential equation.

Q: A. Solve the following linear differential equatio 2. тб + m5 - т4- т3 %3D0

A: We have to solve the m6+m5-m4-m3=0

Q: e. xy' – y = x*y"

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Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Let's find.

Q: Solve the differential eqution y'-y=7e^x

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Q: Solve the following differential equation by using variation of parameters: X^2y" - 2ху'+2у-х^4е^х

A: Given - x2y'' - 2xy' + 2y = x4ex To find - Solve the following differential equation by using…

Q: . Solve the following Exact/Inexact Differential Equation.

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Q: y = cje + c2er

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Q: Q2) Solve the differential equation by the method of integrating factors: А)у' — ху — х, у(0) — 3

A: Calculate the integrating factor and than use the standard form of solution.

Q: Q16// Solve the partial differential equation du cot y given that = x when y=- and u=y when x-0 ax…

A: Given partial differential equation, ∂2u∂x∂y=cot3y Given that, ∂u∂x=x when y=π2u=y when x=0

Q: - ydx + (x ++xy )dy= 0

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Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A: Topic = Differential equation

Q: Solve the ordinary differential equation (ODE) dxdt=5x−3 for x(t).

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Q: Find the particular solution to the differential equations,Evaluate the polynimial by finding the…

A: Given that: xdy+ydx+xy(3dx+dy)=0x=-3 and y=9

Q: Find the root of the following equation using Newton Raphson method where the initial value of x…

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Q: Obtain the differential equation associated with the given function: y = Cx² + C².

A: first we will derivative with restive x then find the value of C then put in given equation

Q: Solve the differential equation by variable separable r®y² dæ

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Q: Q1) Solve the following partial differential

A: Given

Q: Q1) Solve given differential equation using a variation of parameter method y" – y = 212 – t- 3

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Q: Solve the following differential equation sec3x dt = tan2 t dx when x = 3π/2 , t = π/4

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