Need some progress Identify the equation as homogeneous, Bernoulli, linear coefficients, or of the form y'...
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
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...
8. Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. * (8 Puan) y (4) +9y" = 5+ (x-3) + 4sin(3x). A + B sin(3x) + Cx sin(3r) + Det + Exer A + Bxe-3x + Cxex + De' + Exet Ax? + Bxe-3x + Cxe3x + Det + Exel none of these Ax? + Bx cos(3x) + Cx sin(3x) + Del + Exe" Ax+ B + C sin(3x) + D...
1 6. The general form of a linear, homogeneous, second-order equation with constant coefficients is dy dy form. ns (b) Show that if q关0, then the origin is the only equilibrium point of the sys (c) Show, that if q关0, then the only solution of the second-order equation constant is y(t) = 0 for all 1.
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)...
Identify the type of the following differential equation. Note: y is the dependant variable in the equation. ,1/2 dy – 4= 23/2 Select all that apply Seperable Linear E Exact Homogeneous Bernoulli Linear Substituion
Determine the appropriate form of the particular solution for the following non-homogeneous linear differential equation with constant coefficients. J.(4) +9y" = 5 + e' (x – 3) + 4sin(3x). Ax + B + C sin(3x) + D cos(3x) + Exer Ax? + Bxe - 3x + Cxe3x + Det + Exet A + Bxe-3x + Cxe3x + Det + Exet none of these A+B sin(3x) + Cx sin(3x) + Det + Exel Ax2 + Bx cos (3x) + Cxsin (3x)...
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...
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 =...
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