com/forms/d/e/1FAIPQLSECXIL7-3AulmakejlhXcxBjLYzdutVKM8x8d8KrE314KUuFg/formResponse Question* If we use the Laplace transformation, the solution y(t) of the following differential equation: y' +y 1, with y(0) = 2 %3D will be transformed to Y(s) such that s+1 Y (s) = 2s+1 Y(s) s(s+2) s(s+1) O This option O This option 2s+1 Y(s) = 2s+1 Y(s) = s(s-3) s(s-2)

com/forms/d/e/1FAIPQLSECXIL7-3AulmakejlhXcxBjLYzdutVKM8x8d8KrE314KUuFg/formResponse Question* If we use the Laplace transformation, the solution y(t) of the following differential equation: y' +y 1, with y(0) = 2 %3D will be transformed to Y(s) such that s+1 Y (s) = 2s+1 Y(s) s(s+2) s(s+1) O This option O This option 2s+1 Y(s) = 2s+1 Y(s) = s(s-3) s(s-2)

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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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.

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Question 6 Solve the differential equation y' = (A) 2x + e^xy - y^2 = c (B) x + e^xy -2 y^2 = c (C) 2x + e^2 - y^xy = c (D) e^2x + e^xy - y^2 = c 2+ yey 2y-xe-ty
What is the resulting differential equation after the initial substitution from the appropriate 2nd order transformation? Do not transpose terms to the other side of the equation. Continue from the solution obtained with the appropriate 2nd order transformation. Assume dy/dx > 0 and x > 0. If x = 1, C1 = 0, and C2 = 0, what is the value of y?
Write the particular solution of the first order linear differential equation (1 + x)dy + (y - cosx)dx 0; when y(0) = 1. In writing your final answer, follow the format 2x^3ycosx-3y^2+x^3y=c. If it involved product of a variable and trigonometric function, write first the variable followed by the trigonometric function. If in a term it involved x and y, write x first followed by y whatever the exponent be. The value of the constant of integration c is written on the right side of the equation. Strictly no spaces between symbols. Do not use grouping symbols for the product or multiplication symbol. All letters should be in small letter and the order of the addends is not necessary. Use the symbol (^) caret to denote the exponent of the variable. Use the / symbol to denote quotient. =
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(a) Consider the direction field of the differential equation dy/dx = x(y - 8)2 - 4, but do not use technology to obtain it. Describe the slopes of the lineal elements on the lines x = 0, y = 7, y = 8, and y = 9. X = 0 y = 7 y = 8 y = 9 (b) Consider the IVP dy/dx = x(y - 8)2 - 4, y(0) = Yor where y, < 8. Can a solution y(x) – o as x - o? Based on the information in part (a), discuss. O y(x) can approach o as x approaches o. O y(x) cannot approach co as x approaches o. Need Help? Read It Watch It
9/tormResponse Question* Using Laplace transformation, the solution of the following differential equation y" + 2y = sin(t), with y(0) = 0 and y'(0) = 1 is: y(t) = 3- 3cos (t) + 2sin (t) y(t) = sin (t) This option. This option yte) = " sin (t) y(t) = %3D 4.