Identify the type of the following differential equation. Note: y is the dependant variable in the...
Identify the type of the following differential equation. Note: y is the dependant variable in the equation. dy dx -2y 2 (4+lny-lnx) Select all that apply. Seperable Linear Exact Homogeneous Bernoulli Linear Substituion Identify the type of the following differential equation. Note: y is the dependant variable in the equation. 31/2 dy - 4 = y3/2 dx Select all that apply Seperable Linear Exact Homogeneous Bernoulli Linear Substituion dy The differential equation 6 - dx 949,6 – 24 can be...
Please help Identify the type of the following differential equation. Note: y is the dependant variable in the equation. y1/2 dy po me-7 = y3/2 Select all that apply Seperable Linear Exact Homogeneous Bernoulli Linear Substituion
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)...
Need some progress Identify the equation as homogeneous, Bernoulli, linear coefficients, or of the form y' = G(ax + by). cos (4x + 5y) dy = sin(4x + 5y) dx Select all that apply. A. Bernoulli B. the form y' = G(ax +by) C. homogeneous OD. linear coefficients
Identify the equation as homogeneous, Bernoulli, linear coefficients, or of the form y' = G(ax + by). 8tx dx - (t? - x?) dt = 0 Select all that apply. A. the form y' = G(ax + by) B. linear coefficients C. homogeneous D. Bernoulli
Consider the differential equation: (7y sin(xy) + 2 sec x) dx = (2 lny – 4x sin(xy))dy Note: Do not use square brackets in your response, use normal parantheses if you have to, i.e "0" Then aM ду and ƏN ax Is this equation exact? Yes No Consider the differential equation: sin(x)dx + 5y cos(x)dy = 0 Which of the following can be an integrating factor to make the equation exact? Select all that apply. On=e-54 On=tan(x) Ju=e-542/2 On =...
Use the method for solving Bernoulli equations to solve the following differential equation, dy Y = 2x8y² dy Ignoring lost solutions, if any, the general solution is y (Type an expression using x as the variable.)
The differential equation (x - y)dx + xdy=0 is a Homogeneous differential equation. Select one: O True O False Which of the following linear differential equations is obtained after applying a suitable substitution to the Bernoulli equation (cos 2)y' + 5(sin x)y = cos 1 Select one: 5 tan O A. Vt 3 10 tan OB. + 3 10 tan : Ocot 3 5 tanz OD. + 2 COS 3 casa 3 2 Cosz 3 U COST 2 5 tan...
4. Consider the homogeneous differential equation dy d y dy-y=0 dx3 + dx2 dx - y (a) Show that 01 (C) = e is a solution. (b) Show that 02 (2) = e-* is a solution. (c) Show that 03 (x) = xe-" is a solution. (d) Determine the general solution to this homogeneous differential equation. (e) Show that p (2) = xe" is a particular solution to the differential equation dy dy dy dx3 d.x2 - y = 4e*...
Identify the equation as separable, linear, exact, or having an integrating factor that is a function of either x or y alone (3x+3x - 3y)dx + (xy? - x-2)dy = 0 Select all that apply. A. has an integrating factor p(x) or p(y) not equal to a constant OB. linear OC. separable D. exact E. none of the above