4. Solve the initial value problem as a Bernoulli equation ay = (43 – 1)y, y(1)...
(1 point) Solve the Bernoulli initial value problem - 2 'y', y(1)=2 For this example we haven We obtain the equation + given by Solving the resulting first order linear equation for u we obtain the general solution with arbitrary constant Then transforming back into the variables 2 and y and using the initial condition to find C Finally we obtain the explicit solution of the initial value problem as
4.6 (20 pts) Solve the initial value problems for the Bernoulli equation. (a) xy+y=x*y; y(1) = 1/4; (b) xy + 3y = rºy?, y(1) = 1/2.
Solve the initial value problem a ay – 2y = 2x4, der y(1)=3.
Find the solution of the following initial value problem using the method for a Bernoulli equation: xy' + 3y = xvy,y (1) = 0 (Bernoulli equation)
Problem 5. (1 point) A Bernoulli differential equation is one of the form +P()y= Q()y" (*) Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u =y- transforms the Bemoulli equation into the linear equation + (1 - x)P(3)u = (1 - x)^(x). Consider the initial value problem ry' +y = -3.xy?, y(1) = 2. (a) This differential equation can be written in the form (*) with P(1) =...
No 4. Solve the differential equation dy dx . Solve the initial value problem: y" + 3y' + 2y 10 cosx, y(0) 1,y'(0) 0
7. Provide the Bernoulli Differential Equation and Solve the Bernoulli Differential Equation using MATLAB. Initial conditions are: y = –2 @ t=0
2. Solve the following initial value problem: 3? - 2 + 3 4 + 2y and y(0) = 2. Your solution must be an explicit function (expressing y in term of r only) 3. Solve the Bernoulli equation: ry' + y = xy? Your solution must be an explicit solution, that is, you must write y as a function of
Solve the initial value problem (43 – 1)e*dx + 3yº (@+ 1)dy = 0, y(0) = 0 Preview
Solve the Bernoulli equation for y. dy 5y + yº. dt Use the following initial condition: y(0) = 1. y = Preview Points possible: 1 Unlimited attempts.