DO HAND CALCULATIONS. SHOW ALL STEPS
DO HAND CALCULATIONS. SHOW ALL STEPS 1. Slope Fields For the given differential equations sketch the slope fields and some of the isoclines. Then sketch some of the solution curves and verify your an...
sketch the slope field and some representative solution curves for the given differential equation. For Problems 22–29, sketch the slope field and some repre- sentative solution curves for the given differential equation. 22. y' = 4x.
The isoclines of the first order differential equation are the family of parallel lines with slope 2. Use the drop-down menus to answer each of the following questions. Question 5 2.5 / 10 pts The isoclines of the first order differential equation dy dar 2x – Y are the family of parallel lines with slope 2. Use the drop-down menus to answer each of the following questions. (1) What is the slope of all solution curves as they pass through...
15 pts] Sketch some representative solution curves for the autonomous first order differential equation y'- y(2-y) (1 -y). Find all equilibrium solutions, label all pertinent coordinates. Note: An Autonomous equation means that dy/dt does not depend on time t. Hint: Follow the method demonstrated in Example 1.3.6 (p.28). The hand-draw slop field is optional and not necessary. This method gives a qualitative analysis for the future of all possible solutions without solving the equation quantitatively 15 pts] Sketch some representative...
help d, e h j k ● Sketch slope fields and approximate solution curves for the given DEs and initial condi- tions: y' = t + y, y(-1)= 2, y(0)--1. y, = t-y, y(-1) = 2, y(0) =-1. yt , y(-1) 0, y(0) 1 t,y(0)-0, (0) -0.6, (0) 0.8. nothev ● Sketch slope fields and approximate solution curves for the given DEs and initial condi- tions: y' = t + y, y(-1)= 2, y(0)--1. y, = t-y, y(-1) = 2,...
Verify that the indicated function is a solution of the given differential equation. dy 1 +y=sinx : y= 2 sinx dx Cosx +10e-X
I tried to do all 3 problems and I am not be able to get. Help. Thanks. dy 3. Given the differential equati . sketch the direction field, using isoclines, and & a few representative solution curves. Include any linear solutions find linear solutions (of the form y mx + b) find the general solution of the equation ( create a new dependent variable w = V. Then find how砮and 응 are related. Then write down & solve a differential...
Please answer ALL parts of the question. Will rate immediately!! Thank you!! 3. Modeling with Differential Equations a. Provide slope fields for the following differential equations: DE#1: y'-y-cos x; DE#3: y'-y-cos y. (4pts) DE#2: y-x-cos y, b. For each slope field, draw the solution curve for the initial condition y(0) 1. (4pts) Attach separate pages c. Use Euler's method to estimate y(2), using steps of h 0.5 and h0.1 '-y cosx,y(0)-1 You can use technology. Write your results accurate to...
this is from differential equations ch8 section 2. please write clearly and show all steps Use the methods of section 8.2 to find the general solutions of the given systems of differential equations in the following three problems. 2. dx dt 2x + y dy = -x + 4y dt
Match the differential equations with their corresponding slope fields. Write your solution in the form of a sequence of number-letter, for example "1D, 2C, 3B,4A." 1. y'=sin(x)eg, 2. y' = cos(x), 3. y' = cos(2)(y + sin(y)), 4. y' = 2,c2 + 3y. V I //// V I VIII VIII/ VIII VIII / IIIIIIII ///// IIIIIII IIIIIIIII I\\\\ IIIIIIIII IIIIIIII 1100 1111111111111A //// 1////// // ///// LLLLL /// / /// IIIII /// ///// III III W LLLLLLLLALLLLLLL IIIIII IIIIIIIIIIIIII
please show all steps 4. Some equations that are not separable can be made separable by an appropriate substitution. Differential equations of the form y = f (!) are called Euler-homogeneous. These can be solved by letting v = y/t or y = ut. Using the product rule, dy du di = v + tai so that the differential equation becomes du v+t du f(0) - 0 dt t Use this technique to solve dy 2y+ + +4 - Leave...