1. Find the solution to the initial value problem v' = 4x3 + 1 24 -...
3 pts Question 7 is The solution of the initial-Value Problem (IVPI 38 - 2y = 4(x - 2) v(I) = 4 W(1) = -1 4 +-9 + 1 O 1 +? - 24 0 417 +-+3 None of them o 1 +- 2c + 4 D Question 8 3 pts The power series solution of the initial Value Problem (IVP) (x+1) + xy + 2xy = 0 (0) = 2 (0) = 3 given by None of them 2125...
(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
Find the solution y of the initial value problem 3"(t) = 2 (3(t). y(1) = 0, y' (1) = 1. +3 g(t) = M Solve the initial value problem g(t) g” (t) + 50g (+)? = 0, y(0) = 1, y'(0) = 7. g(t) = Σ Use the reduction order method to find a second solution ya to the differential equation ty" + 12ty' +28 y = 0. knowing that the function yı(t) = + 4 is solution to that...
Find the solution ?y of the initial value problem ?″(?)=49(?′(?))10?5,?(1)=0,?′(1)=1. ?(?)= (10 points) Find the solution y of the initial value problem 4 (v(1) 10 y (t) = y(1) = 0, y (1) = 1. y(t) = (1/^4)^(1/9) Σ Help Entering Answers Preview My Answers Submit Answers Show me another Results for this submission Entered Answer Preview Result [1/(t^4)]^(1/9) C) incorrect
Exact Differential Equations. Let y(x) be the solution of the following initial value problem: (cos z ln(2y = 8) + 2) + (x+4)=0, x(1) -- What is the value of y(+/2)? (a) 37 + 1. (b) 1/7- 2. (c) /3+ V. (d) 4+1/. (e) None.
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)
3. (20 points) Find the solution y = y(x) of the initial value problem y 0 − y x = cos2 (y/x) , y(1) = π 3 3. (20 points) Find the solution y = y(x) of the initial value problem 37 - = cos”(y/2),y(1) = 5
Find the solution of the initial value problem (x In x) y'+y = 2 In x, yle) = 1. 1 y(x) = 1 + In Inr 1 y(x) = Inca Inr y(x) = e + Inc e In 2 y(x) = Inc (2) = el-r
1. Show that the following initial value problem has a unique solution and find the solution. -?v+te", ist32, y(1) = 0 (14 pts)
please solve the initial-value problem only thanks 2. Now find the explicit solution for the initial-value problem = y(ay - 1), y(0) = 1, by treating it as a Berno equation, and provide a graph of the solution function using Plot[y[x].(x,0,1}]. dz