Determine whether the following equations are separable. If they are separable, rewrite them in separated form. (Do not solve them)
Hope you like the answer ?
Any doubt feel free to comment ?
Determine whether the following equations are separable. If they are separable, rewrite them in separated form....
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...
for
differential equations
1. Identify each of the following differential equations as either Separable, Homogeneous, Linear Bernoulli, or Exact and solve the equation using the method of the type you have identified. Many can be classified in multiple ways, it is not necessary to list all possibilities. (3xy2 +2ycos x)+y'-y sin x-x =0 Туре: A. dx General Solution: B. (4xy+xy)2x+ xy2 dx Туре: General Solution: Туре: C. y'y'y+1 General Solution: (3x'y+e')-(2y-x-xe)dy Туре: D. dx General Solution: Туре: dy E. =y(xy-1)...
can i have a step by step of 1, 3, and 5 please
In Problems 1-6, determine whether the given equation is separable, linear, neither or both. dx 1. +xt = ex 2. 2dy +sin x y = 0 dt dx 3. 3t e'+ y ln t 4. (t+ \ dt yt - y dy Srortar dr 5. 3r = de vorla (d) dx TU6. x +Px = sin t dt 03
please determine which equations are exact and solve
them.
Exact Equation nice* (x + y + 2xy2 ) + 6x) dx +(2x+ye* +2 ) dy = 0 2) · (3x” cos xy - x® y sin xy + 4x )dx +(8y - x' sin xy) dy = 0
help with number 4 & 5 differential equations. the
answers are provided but can not determine the work.
4. Solve the BVP: 2xydx - (3x2 +y]dy-0, y(6) 2 5. Solve the DE: [xcot()+y]dx-xdy 0. Answers: (y + 3x)"-k(y-x). 1. 2. (2y +x)-12(x -y) 5. xcos(-)K. X COS
Dif equations 4
4. a) Determine whether the following differential equation is exact. (x + 2y) dx + (2x - y)dy = 0 b) Find the general solution using the method of exact differentials.
2. For the following quadratic equations, find the vertex, and y inter- cepts, determine whether the parabola opens up, down, right or left and say whether it is tighter, wider or the same thightness as the standard parabola. You do not have to graph the parabola. (a) y-2 3r - 1 (b) y 3r2+5x +4 (d) y 2r2 8x +8 (e) 27 (f) z 5y2 +2y 1
2. For the following quadratic equations, find the vertex, and y inter- cepts,...
help with differential equations. having problems with
the 2nd problem, 3rd, 6th, 7th, and the rest.
I don't understand how to work the 2nd, 3rd, 6th, and
the rest of the questions.
Homework Problems for Handout Sheet 01 1. Show that y Ke' -2x+1 is a solution of V-y-2x-3, and then find K so that y Ke -2x+1 also satisfies y(0)-4 2. Show that y -Ke-2e +4xe is a solution of dy + y 8xe, and then find K so...
MTH 295 Homework set # 7 The following problems will be fully graded with the possibility of earning partial credit. To receive any credit, you must show a sufficient amount of work when applicable. If you use additional paper to show your work, insert the additional work sheets between the test pages. DO NOT staple. Sloppy, haphazard work will not receive credit. Give the answers in the spaces provided, and the work on separate sheets of paper. Consider the following...
Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.) 3y + 2z 4 2x-y-3z 2 2x 2y z6 (x, y, 2) Solve the following system of equations. (Enter your answers as a comma-separated list. If there are infinitely many solutions, enter a parametric solution using t and/or s. If there is no solution, enter NONE.)...