Solve the following Bernoulli equations:
a) x2y' + 2y = 2e1/xy1/2
answer: y = e2/x(c-1/x)2
b) xy' + y = x4y4 y(1) = 1/2
answer: y = 1/x(11-3x)1/3
Solve the following Bernoulli equations: a) x2y' + 2y = 2e1/xy1/2 answer: y = e2/x(c-1/x)2 b)...
Solve the Bernoulli equation a) xy′−4y = x^2√y, b) y′ = y(y^3 cosx +tgx), Solve the exact equation a) 2xcos^2 ydx +(2y−x2sin2y)dy = 0, b) (x^3 −3xy^2 +2)dx−(3x^2y−y^2)dy = 0, PLEASEEE it would mean a world to me
1. Solve the following differential equations: a. xy'=y+Vxy x+2y+3 y'= b. 2x – y +5 x+2y+3 y'= x+2y+5 y cos(x+y)+x+y d. sin(x + y) + y cos(x+y)+x+y C. y'=
Solve the following ODE's for Y(x) A) x2y''-2xy'+2y=0 y(1)=2 y'(1)=1
Solve the following ODE's for Y(x) A) x2y''-2xy'+2y=0 y(1)=2 y'(1)=1
Solve the given differential equations: х 1. y' = y(0) = -2 y+x2y 2. 3x²y dx – (x3 + y3)dy = 0 , y(1) = -2
Which of the following is solution for (x^2 + y^2) dx +2xydy= 0? xy^2+1/3x^3=c x^2y+1/3x^3=c xy^2+1/2x^3=c x^2y+1/2x^3=c
exact differential equations 2. Solve the initial value problem: (2.1 – y) + (2y – r)y' = 0) with y(1) = 3. 3. Find the numerical value of b that makes the following differential equation exact. Then solve the differential equation using that value of b. (xy? + br’y) + (x + y)x+y = 0
Systems of Equations: 3x + y = 6 2x-2y=4 Substitution: Elimination: Solve 1 equation for 1 variable. Find opposite coefficients for 1 variable. Rearrange. Multiply equation(s) by constant(s). Plug into 2nd equation Add equations together (lose 1 variable). Solve for the other variable. Solve for variable. Then plug answer back into an original equation to solve for the 2nd variable. y = 6 -- 3x solve 1" equation for y 6x +2y = 12 multiply 1" equation by 2 2x...
1: The equation dy + 2y = xy-2 is an example of a Bernoulli equation. (a) Show that the substitution v = y; reduces eqauation to do + 6u = 3x. (b) Find the general solution to the equation in part(a).
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)...