Ise proper substitution to solve the following Cauchy-Euler DE [(x+1)D² – (3x+4)D+3]y = (3x + 2)e³*. %3D

Q: Convert 1 √₁-x² √(1-x² - ₁₁² ₂ = ( x ² + 1 ² + 2 ² ) {/² e -x² -√√1-x² - y² dz dy dx in spherical.

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Q: complete

A: We have to choose the correct option according to the given information

Q: iox e dx solue with Residue nethod 2 - x + 2ix +1

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Q: Solve by reduction of order. Find y2 and y (x² + 1)y" – 2xy' + 2y = 0 yı = x -

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Q: . Evaluate JVy³ + 1 dydx

A: Given,          ∫01∫x1y3+1dydx

Q: Reduce the equation yzxx + (x + y)2xy + XZyy = 0 to a canonical form and solve it.

A: The characteristics integrals:

Q: 7. Evaluatexyddx+e*dy where C goes along the x-axis from (0,0) to (2,0) and then along the parabola…

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Q: Solve for the general solution (4ху +3у — х) dx +x (x+2у) dy %3D 0

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Q: Find all solutions of x2 - x + 2 = 0 over Z3[i].

A: To solve this equation in Z3[i], we need to find all complex numbers of the form a + bi where a and…

Q: Solve y”+9y = 2cos(3x)+3sin(3x) using the method of undetermined coefficients. Show all support…

A: The given differential equation is…

Q: y" – 2y' + y = -3 – x + x?.

A:

Q: 1. Solve: 2 dy (2y + 3) dx 4x + 5,

A: The answer of the differential equation is, 2/(2y+3) = 1/(4x+5) + c, where c is an arbitrary…

Q: 1) [sex² 4x² - x² dx 2 dx 2 ਤੇ 3) sex² (4x+²) dx 2) 4) S X dx √4-9x² using Integration by…

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Q: 2.2 (x²-y² + sxy + 2) y.dx + ( x + ² + 4xy + 2)x.dy=0

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Q: Solve the particular solution (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

A: We find the particular solution of  (D2 + 3D + 5)y = 5e-x sin (2x) using D - operator method.

Q: x²r x*r + 2xys + y²t = 0

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Q: 18. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d.…

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Q: 3) Suppose I want to use a "u" substitution to find sec² (9x + 4)dx. What should I choose for u? O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 7. (x+2yXdx- dy) = dx + dy. %3D

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Q: 2 Find the general Solution of yty = 2xcosx -CosX %3D

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Q: 1 14) Find xe™³x² dx . | 0

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Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: 1. | 4e3u du | (56t2 + 18t2 ) dt 3. |(2x2 + 8x + 7) dx 4. (12V– xVI) dx 2.

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Q: Determine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2…

A: Simply put z= 2x-3y and solve .

Q: Determine the order and degree of the differentiah equation y + ( )* dt

A: Using definition of order & degree of Differential Equation.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.