If you have any doubt or need more clarification at any step please comment.
4. 5. 6. Determine if the differential equation is separable, and if so, separate it. Yes,...
Solve the separable differential equation (y2+2)dx+y(x+4)dy=0.
Find the function y = y(2) (for x > 0) which satisfies the separable differential equation dy 6 + 14.2 dic 12 2 0 with the initial condition y(1) = 3. y=
8-11: Determine if the following problem is a separable or a linear differential equation or neither, then solve the first-order differential equation.If it is an initial value problem, find the exact solution. dy .dr a2y-ycos y(0) 3 8. 9. e(y-)da+ (1 + e*dy) = 0 10. (cos r)y (sin )y 1, y(T) = 1 shared via du dr 3yx-2a2- x with y(1) 0 11. a 12. In 1980 the population of alligators estimated to be 1500. In 2006 the population...
differential equation Convert the IVP into an IVP for a system in normal ( canonical) form: y(+y(O-340=t; x0- 3; y(o = -6 a) b.) Given F(s)= - . Find (f f)( dv= J Solve the integral equation: c) Solve the IVP using Laplace transforms: d.) ty+y-y-O,XO) = 0; y(0) =1 Convert the IVP into an IVP for a system in normal ( canonical) form: y(+y(O-340=t; x0- 3; y(o = -6 a) b.) Given F(s)= - . Find (f f)( dv=...
1. Determine if the differential equation x^2y′=y(x+y) is homogeneous or Bernouilli or both. Give a solution using any method that applies. 2. Solve the differential equation y′= 2x(y+y^2) using the method of Bernouilli equation. Also give a solution for the same differential equation using the method of separable DE. 3. Consider the differential equation y′′= (y′)^2. It is has both x and y variable missing.Give solutions to the DE using the two different methods corresponding t ox-variable missing, and y-variable...
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
(2) [Problem 1.9.25 Part 1] Determine the integrating factor for the following differential equation. æży dx + y(x3 +e-34 sin y)dy = 0 (3) [Problem 1.9.25 Part 2] Use the integrating factor found in the previous prob- lem to solve the differential equation xạy dx + y(x3 +e-34 sin y)dy = 0.
2. a) Solve the differential equation: 2²/" - 6xy' = 27 6 Oy=4 +6226 + Ins 6 36 Oy=c+ c2 26 76 36 + In 3 6 6 27 Oy=4+ c227 + In 7 ...7 49 Oy=q+cqz? 27 In 2 49 +7 None of the above b) Solve the differential equation: 9z+y" + 9xy' +25y = 0 Oy= cos(5 ln /3) + sin(5 In 3/3) Oy=425 +2.23 Oy=C1 cos(52/3) + 2 sin(5x/3) y=4125 + c2205 in None of the above...
1. Solve the following homogeneous differential equation. ty' = 1. cos (6) + y 2. Solve the following Bernoulli differential equation 3. Solve the following initial value problem. (Hint: transform the equation to a separable equation through a substitution) y-(x + y + 1)? (0) - V3 - 1 4. Let T represent the temperature (in °F) of an object in a room whose temperature is kept at a constant 60°. If the object cools from 100 to 90° in...
Just need answer, no work. Please! Thank you Solve the separable differential equation for u du 41+ 2+ Questions ► 01 (0/10) Q2 (0/10) Q3 (0/10) Q. 4 (0/10) Q5 (0/10) ► 06 (0/10) Q7 (0/10) Use the following initial condition: u(0) = 4. u = Preview Find f(c) if y = f(c) satisfies - = 70yx Questions ► 1 (0/10) ► 02 (0/10) ► Q3 (0/10) ► 4 (0/10) Q5 (0/10) Q 6 (0/10) ► 07 (0/10) and the...