(1) Find the value of k in the following D.E. to be exact: (3xy2 +8ye") dx...
Can you solve these dif. equations? Solve the following D.E. (3.+ 2y)dx + (4.xy + 6y2)dy = 0 Solve the following D.E. (x²y)dx + y(x3 +e-3y sin y)dy = 0
Solve the following initial-value problems (which could be homogeneous, Bernoulli, or exact). (2x2 + y2) dx - xy dy = 0, y(1) = 8
Solve the following exact differential equation with initial value. (5x + 4y)dx + (4x - 8y3)dy = 0, y(0) = 2
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)...
1. Find the value of b that makes the equation (ye"y)dx + (very + by)dy = 0 exact, and solve. 2. We know that the first order linear equations are of the form y' + p(t)y = g(t). For which plt) the equations are exact? 3. Textbook 2.6: 7,11,13
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
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 whether the equation is exact. If it is, then solve it. (3x²y + 4) dx + (x3 - 3) dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = C, where C is an arbitrary constant. O A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The equation is not...
Solve the following initial value problem y(0) = 0 cosx (dy/dx) - ysinx = 3x^2
1) Consider the following equation. 6xy dx (4y 9x2)dy-0 a) Show the equation is not exact. b) Find an integrating factor that will make it exact. c) Use the integrating factor to solve the resulting exact equation.