63 please 63-64(a) Find y' by implicit differentiation.(b) Solve the equation explicitly for y and differentiate to get y' interms of x.(c) Check that your solutions to parts (a) and (b) are consistent bysubstituting the expression for y into your solution for part (a).63. xy + 2x + 3x²64. cos x +y = 5=4&

Answered: Image /qna-images/answer/4186b18f-debb-409c-838a-0b9f0e669c86.jpg

Answered: (c) Check that your solutions t…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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x(1-sin(y))y' = (cos(x) - cos (y) - y) solution of the differential equation
pls solve only NUMBER 2 the differential equation: [2xy cos(x^2) - 2xy + 1]dx + [sin (x^2) - x^2]dy = 0 y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1
Verify by substitution that the given function is a solution of the given differential equation. Note that any primes denote derivatives with respect to x. y′=5x4, y=x5+12 What step should you take to verify that the function is a solution to the given differential equation? A. Differentiate the given function and substitute into the differential equation. B. Determine the first and second derivatives of the given function and substitute into the differential equation. C. Substitute the given function into the differential equation. D. Integrate the function and substitute into the differential equation. Integrate or differentiate the function as needed. Select the correct choice below and fill in any answer boxes within your choice. A. The indefinite integral of the function is ∫y dx=nothing. B. The first derivative is y′=nothing and the second derivative is y′′=nothing. C. The first derivative is y′=nothing.…
Verify that the function satisfies the differential equation. (A differential equation in x and y is an equation that involves x, y, and derivatives of y.) Function y = 3 cos x + sin x Differential Equation y″ + y = 0
(1+cosx)y'=sinx(sinx+sinxcosx-y) evaluate the given differential equation
Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation. (Your work needs to contain implicit differentiation and simplification.) x^2 - sin(x+y) = 1, dy/dx = 2xsec(x+y)-1
Verify that the function satisfies the differential equation. (A differential equation in x and y is an equation that involves x, y, and derivatives of y.)

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(c) Check that your solutions t substituting the expression 63. xy + 2x + 3x² = 4