Verify that the indicated function is an explicit solution of the given differential equation. Give an...
verify that the given function is a solution to the given
differential equation (c1 andc2 arbitrary constants), and state the
maximum interval over which the solution is valid.
8. y(x) = cj cos 2x + c2 sin 2x, y + 4y = 0.
Verify that the given function is a solution to the given
differential equation (c1 and c2 are arbitrary constants) and state
the maximum interval over which the solution is valid.
For Problems 7-21, verify that the given function is a solu- tion to the given differential equation (cy and c2 are arbitrary constants), and state the maximum interval over which the solution is valid. ya Sx +42 25 WID#cigos x A Asin 2%, = 0 BAWK vel Hope 2y +10....
Verify that the indicated function is a solution of the given differential equation. dy 1 +y=sinx : y= 2 sinx dx Cosx +10e-X
Verify by substitution that the given function is a solution of the given differential equation. Note that any primes denote derivatives with respect to x. y' = 4x3y = x + 6 What step should you take to verify that the function is a solution to the given differential equation? O O O O A. Substitute the given function into the differential equation, B . Integrate the function and substitute into the differential equation C . Determine the first and...
dy Determine the region in the plane for which the differential equation 1. has a unique V1-y dx solution through the point (Xo. yo) Verify that the function is an explicit solution of the differential equation: 2. x2y" +xy'+y 0; y sin(In x) Give an interval of definition for the solution. Chapter 2 3. The graph represents the graph ofdyf). Sketch a direction field for the differential equation
Verify that the given function is a solution to the given
differential equation (c1 and c2 are arbitrary constants), and
state the maximum interval over which the solution is valid.
14. y(x) = cix-3 + c2x-1, x2y" + 5xy' + 3y = 0.
2. -13 points ZillDiffEQModAp111.1.011. 0/6 Submissions Used My Notes Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate intervall of definition for the solution. 6y + y = 0; y = e-x/6 When y = e-x/6 y'a Thus, in terms of x, 6y' + y = 3. -12 points ZillDiffEQModAp111.2.001. 0/6 Submissions Used My Notes Ask Your Teacher In this problem, y = 1/(1+ce) is a one-parameter family of solutions of the...
Determine whether the function, y = sec(x), is an explicit solution to the differential equation y'' + y = 2(y^3)
Find an explicit solution to the given differential equation. 1 + (x/y- sin yly = 0
Determine if the given function y- f(x) is a solution of the accompanying differential equation Differential equation: 9xy' + 9y-cos x Initial condition: y()0 Solution candidate: y- x O a. No b. Yes
Determine if the given function y- f(x) is a solution of the accompanying differential equation Differential equation: 9xy' + 9y-cos x Initial condition: y()0 Solution candidate: y- x O a. No b. Yes