2 2(10). Determine if the following two equations are exact, and solve it if "yes". (a)...
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
determine which equations are exact and solve them 10. (2x2 + 8xy + y2) dx + (2x2 + xy3/3) dy = 0
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.
1. Determine the solution to the following differential equation (implicit if necessary): 2. Determine the general solution, y(x), to the following differential equations [use synthetic division to solve a), b), and d)]. Show all your work dx3dx2 dx b)@y-4ーー3을y+18y = 0 d2 dx2 dx3 dx dx2 dx + 2-10 dy, dy _ y = 0 dx dx x f) χ +dy=kx where k is a constant dx2 dx
7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt 7. Solve the following differential equations. dy 2 y= 5x, x>0. + a) dx dx 1+2x 4e', t>0 b) t dt
can someone solve this differential equation The general solution of the exact differential equation sec?x tan y dx + sec’y tan x dy = 0 is Select one: cot x = c coty a. tanx = c tan y o b. - cot x = c coty tanx tany = C d. Previous page Next p
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)...
solve the following differential equations using any of the methods discussed in 2.2 through 2.7. substitutions, homogeneous, linear, exact, Bernoulli, Ricatti, Clairaut rough 2.7: Solve the following differential equations using any of the methods discussed in 2.2 th 2. (6pts) B. Xy ,y >0 с.ax cos(y)-x (6pts) y"4(tan x)y' 0 (6pts). D. Explicit ( F. (6pts) All solutions must be in terms of x and y on rough 2.7: Solve the following differential equations using any of the methods discussed...
Determine whether the equation is exact. If it is, then solve it (2xy + 3)dx + (x²-6) dy=0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The equation is exact and an implicit solution in the form F(x,y)=Cis-C, where is an arbitrary constant (Type an expression using x and y as the variables.) OB. The equation is not exact,
show the ivp is an exact de and then solve (2xy - 9x^2)dx + (2y + x^2 + 1)dy = 0, y(0) = -3