Find the general solutions (implicitly if necessary, explicitly if convenient) of the separable differential equations.
dy/dx = ysinx
Find the general solutions (implicitly if necessary, explicitly if convenient) of the separable differential equations. dy/dx...
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)...
Find the general solution to the system of differential equations: dx/dt = 2x - y dy/dt = 3x - 2y please write legible
Find the general solution (implicit if necessary, explicit if convenient) for the following: 2 dx
Question 14 (12 marks) Consider the following separable differential equation. dy cos(z)(-1) dr (a) Find any constant solutions of this differential equation and hence write down the solution with initial value y=- when r=7 (b) Use partial fractions to evaluate 1 dy. 1 (c) Use the method for solving separable differential equations to solve this DE in the case where y 0 when r T. You may assume that the solution does not cross the constant solutions you found in...
Solve the separable differential equation (y2+2)dx+y(x+4)dy=0.
5. Given the differential equation: e(dy/dx) 2x (a) Find the general solution (b) Graph particular solutions for integration constants C-0, 5, 10 and 15. You can put all plots on one graph or prepare separate plots. Show all calculations 5. Given the differential equation: e(dy/dx) 2x (a) Find the general solution (b) Graph particular solutions for integration constants C-0, 5, 10 and 15. You can put all plots on one graph or prepare separate plots. Show all calculations
Find the general/particular solutions of the given differential equations for problems 1a through 10. (32 points/8 points each) 1a. (y +1)dx =y sec x dy subject to y0) = 1 1b. -X 'y= 2.' Inx, x>0 MATERIAL
Differentiate implicitly to find dy / dx. Then find the slope of the curve at the given point. x?y2 = 36, (3,-2) The slope of the curve at (3,-2) is (Simplify your answer.)
Differentiate implicitly to find dy / dx. Then find the slope of the curve at the given point. x?y2 = 36, (3,-2) The slope of the curve at (3,-2) is (Simplify your answer.)
Use the method for solving Bernoulli equations to solve the following differential equation. dy dx +3y = e Xy - 8 Ignoring lost solutions, if any, the general solution is y=0 (Type an expression using x as the variable.)