4.6 (20 pts) Solve the initial value problems for the Bernoulli equation. (a) xy+y=x*y; y(1) =...
Find the solution of the following initial value problem using the method for a Bernoulli equation: xy' + 3y = xvy,y (1) = 0 (Bernoulli equation)
find solution to ivp xy' + 3y = x(sqrt(y)), y(1) = 0, bernoulli equation
4. Solve the initial value problem as a Bernoulli equation ay = (43 – 1)y, y(1) = 2
solve the initial value problems by a power series (x-2)y’=xy, y(0)=4
solve 5c 5. (24 points) Find the solution of each of the following initial value problems: a) xy' + 3y = x V),y (1) = 0 (Bernoulli equation) 18 b) y" – 4y' – 12y = 3e5, y (0) =- (Hint: use the method of undetermined 7 coefficients) c) (2xy - 9x?) dx + (2y + x2 + 1) dy = 0,y (0) = - 3 (Hint: first show this is an exact DE)
(24 points) Find the solution of each of the following initial value problems: a) xy' + 3y = x V),y(1) = 0 (Bernoulli equation) 18 1 b) y" – 4y - 12y = 3e St, y (0) = , y'(0) - (Hint: use the method of undetermined coefficients) c) (2xy - 9x) dx + (2y + x2 + 1) dy = 0,y (0) = - 3 (Hint: first show this is an exact DE) = -1 7
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 point) A Bernoulli differential equation is one of the form dy dc + P(x)y= Q(x)y" Observe that, if n = 0 or 1, the Bernoulli equation is linear. For other values of n, the substitution u = yl-n transforms the Bernoulli equation into the linear equation du dr +(1 – n)P(x)u = (1 - nQ(x). Consider the initial value problem xy + y = 3xy’, y(1) = -8. (a) This differential equation can be written in the form (*)...
Solve the following initial-value problems (which could be homogeneous, Bernoulli, or exact). (2x2 + y2) dx - xy dy = 0, y(1) = 8
(differential equations). solve as Bernoulli Equation. Solve as Bernoulli Ean. y'+3y=y"