Q4) find the soluation of differention equation using exact equation

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Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: On solving this we will get

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A: Solved below.

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Q: x-2x +x= 15; x (0) = 7, x (0) = -16

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Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

A: This question can be solved using the concept of Laplace transformation.

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A: The function z=fx,y=x2-xy+y2 subject to the constraint x2+y2=8

Q: 3) Suppose f (x, y) is a differentiable function. a) If (a, b) is a critical point of f (y) (in the…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.

Q: Suppose that f(5) = 1, f '(5) = 7, g(5) = −5, and g'(5) = 8.Find the following values.

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Q: x dx 2)√√√27+6x-x²

A: Given, ∫ x27+6x-x2dx

Q: x -2x +x= 15; x (0) = 7, x (0) = -16

A: This question is based on diffrential equation solved using Laplace transform.

Q: Determine whether the differential equation (4x² - 2xy + 5) dx + (7y² − x² + 4) dy = 0 is exact. If…

A: The given differential equation is;  (4x2-2xy+5)dx+(7y2-x2+4)dy=0.

Q: Solutions converge to the function y =

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Q: 1. g(x) = Sin 39 COS 32 5 ㅈ

A: The objective is to differentiate the equation.

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Q: Determine whether the differential equation (4x² − 2xy + 6) dx + (2y² − x² + 4) dy = 0 is exact. If…

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Q: The profit in dollars from the sale of x expensive watches is P(x) = 0.04x² - 5x+6x0.3 |_ -4800.…

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Q: Find the average of two numbers (x1, x2) and print" pass "if the average is more than 50 and "not…

A: Given numbers : x1,x2  Average  of number = (x1+x2)/n                 where n=2

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Q: 30. Determine if the integral dx is convergent or divergent c. Neither a. Convergent b. Divergent d.…

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Q: 27. The factor = T/2 is multiplied in the evaluation of Wallis formula, where m and n rs of sin and…

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Q: A farmer has 400 yards of fencing and wishes to fence three sides of a rectangular field (the fourth…

A: A farmer has 400 yards of fencing and wishes to fence three sides of a rectangular field.

Q: x" -2x +x= 15; x (0) = 7, x (0) = -16

A: We have solve the given differentiable equation…

Q: First verify that the given vectors are solutions of the given system. Then use the Wronskian to…

A: Concept: Wronskian method: W(x1(t), x2(t), . . . , xn(t)) =x1(t) x2(t) · · · xn(t) xx1'(t) x2'(t) ·…

Q: Instruction: Evaluate the following Integrals. Write your COMPLETE solutions neatly and organized.…

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Q: Q:3) A) Test the following surface for maxima minima and saddle point: Z=5+xy+x²+2y+3x

A: See this solution in below

Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

A: The capacities at which U.S. nuclear power plants are working are shown in the table.ft models the…

Q: - S™ SX x² cos cyldy dzdx

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Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √1-x² dy = 0, y(0) = . √3 2…

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Q: Solve the equation | +6 - 4. The solutions are 1 = and 2 = where ₁ ≤ x2. This means x₁ is the…

A: Given,  |x+6|=4

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Q: Task 5. What is the domain of the function a) (0, 1) b) (-∞, 1) c) (-∞, 0) U (0, ∞) esin (1/2) y =…

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Q: ل 2 ل وه هه ** ** " سم Z || . 1

A: Given problem:-

Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by

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Q: Find the limit. (If an answer does not exist, enter DNE.) x + 7-8 lim X→ 57 X - 57

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