(x² – 1) + 2y = (x + 1)² dx

Q: 1. 2y(x² – y + x)dx + (x² – 2y)dy = 0

A: As per our guidelines we are supposed to answer only one question i.e. the question no (1), as per…

Q: C. e3x dx

A: Given- ∫01e3xdx To Find- The value of the above definite integral.

Q: Solve the following differantial equation using finite difference method. d²x(1) + x(t) = 0 dt? dx…

A: Consider the given DE and finite difference formula for the function x(t).

Q: B. Solve the following equation using the determination of integrating factors. 4. y(y3 – x)dx +…

A: Recall: If the equation  Mdx+Ndy=0 can be expressed as    xayb(mydx+nxdy)+xcyd(pydx+qxdy)=0 , where…

Q: Solve the following ODE by introducing integrating factor on the process of your calculation: x dy +…

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Q: A. Solve the following equation using integrating factors found by inspection. 4. xy(y2 + 1)dx +…

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Q: C. Solve the following using Integrating Factor by Formulas. 1. 2y(x? – y + x)dx + (x² – 2y)dy = 0…

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Q: Q3/ Evaluate the integrations: Seax cos (e*) dx. A)

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Q: 1 (a) Evaluate the integration of the following functions: x 2 +2 (i) (ii) fx*e*. dx

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Q: The special integrating factor of y'dx+(3xy + y² -1dy = 0 is: a. e3y b. Зу С. У d. y-3

A: Solution

Q: Solve the following differantial equation using finite difference method. d²x(1) + x(t) = 0 dt? dx…

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Q: Find an integrating factor and solve the given equation. (12x + 3) + (4²+¹2) = 0 12y dy dx

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Q: is -1/(xy) is the integrating factor of the non-exact DE ydx-xdy=0, show your solution.

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Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

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Q: Solve f(x) Sin e* (4 nodes) Using Gaussian Integration (Numerical Methods) [ f(x) dx

A: Given function is f(x)=sinex We have to calculate ∫-11sin(ex)dx Formula for 4-point gauss quadrature…

Q: У(x? — у? + 1)ӑх -x(x? — у? - 1)dy %3D0

A: The given equation is yx2-y2+1dx-xx2-y2-1dy=0 Compare with Mdx+Ndy=0 to get: M=yx2-y2+1 and…

Q: If  f '(x) = x4,  what is f(x)? (Use C for the constant of integration.)

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Q: dy Solve the initial-value problem for y as a function of x. (49 – x²). dx = 1, y(0) = 4 Y =

A: We will solve this integration using trigonometric substitution as follows

Q: + (3x + 1)y = e d« dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find an integrating factor and solve the given equation. 18y dy (18x + 7) + (6²² +15v ) = 0 X dx

A: The given differential equation is                  18x+7y+6x2y+18yxdydx=0

Q: B. Solve the following equation using the determination of integrating factors. 2. y(4x + y)dx –…

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Q: Q1/ Evaluate the integral: -За (2уах 3a dy dx x2 4a by changing the order of integration.

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Q: Solve the given equation using an integratingfactor. Take t > 0. 6y′ + ty = t

A: the given differential equation is: 6y'+ty=t we have to solve the given equation using an…

Q: B. SOLVE THE FOLLOWING PROBLEMS USING DETERMINATION OF INTEGRATING FACTORS: Find the general…

A: We need to solve the differential equation 2yx3-xy+x2dx+xx2-2ydy=0 This can be written as:…

Q: For what function P is the integrating factor α(x) equal to x?

A: We know that , integrating factor of the differential equation is

Q: B. Solve the following equation using the determination of integrating factors. 1 5. y(x? + y2 – 1)…

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Q: C. Solve the following using Integrating Factor by Formula 1. 2y(x2 — у + х)dx + (x? — 2у)dy %3D 0

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Q: B. SOLVE THE FOLLOWING PROBLEMS USING DETERMINATION OF INTEGRATING FACTORS: Find the particular…

A: Given: y2(2x2-xy+1)dx+(xy-y2)dy=0 y(0)=2 To find the particular solution of the equation by the…

Q: B. Solve the following using Integrating Factor by Inspection. Except when the exercise indicates…

A: Explained below

Q: Solve the following using Integrating Factor by Formulas. a.) 2y(x2 - y + x)dx + (x2 - 2y)dy…

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Q: The expression 2xy³ is an integrating factor for x²y³dx + x(1+ y²)dy = 0. A) True B False

A: The given differential equation is  x3y3dx+x(1+y2)dy= 0  We have to check that 1/2xy3 is integrated…

Q: X+3 Q4) Find the integration by using: dx J 2x3-8X

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Q: Use integration by part to obtain a formula for S x"e*dx and use it to find S x'e*dx. Bx

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Q: Solve the following using Integrating Factor by Inspection. Except when the exercise indicates…

A: (a) The given differential equation is: y(2xy+1)dx-xdy=0 Now rearrange terms as below:…

Q: 6) 3x²y dx + (x² + y²) dy = 0 3

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Q: Find an integrating factor to the non-exact equation and then solve. e(4x+y)dx - 2(x² - y)dy=D0

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Q: Solve the following initial value problem for y as a function of x. dy x = /x? - 16, 3x dx x24, y(4)…

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Q: c. x²dy+ (2x³y – e*)dx = 0

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Q: Identify the equation as separable, linear, exact, or having an integrating factor that is a…

A: Given,         2x+2ydx+2x-2ydy=0.

Q: Given the function y = x3 + 7x, find the differential dy.

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Q: OBTAIN THE GENERAL SOLUTION 2. dx: t (1+e?) see" x dt 3. x dx - Ja - x² dy =0

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Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =…

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Q: E) + ») dy = 0 4x3 3 dx + y 3x

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Q: Solve the following using Integrating Factor by Formulas. 2. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0…

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Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the integrating factor?

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