Problem 4 if the Wronskian W off and g is 3e**, and if f(x) = e2*,...
#2 Problem 2 . If the Wronskian of f and g is tcost - sint and if u f+3g z-f-g find the Wronskian of u and z. 0, find a fundamental set of . Given that i(t) is a solution of 2t2y(2) +3ty1) -y 0;t> solution. Problem 3 . Find the L-11 . Using power series method provide solution for the d.e. Problem 4 . Provide the Convolution Theorem and its prove. ve using Laplace transform y2 +2y+5y 0, y(0)...
10. In solving by variation of parameters, you must find the Wronskian, W. Find W for the differential equation y*-y-2y=e' lx You do not have to solve the differential equation. (a) W = 4 (b) w=1621 12 2 (c)w= (d) w =-6e (e) W = 4* +6xe (f) w = (g) w =-3e (h) w -2,1 8 2 te-2 11. Use the method of variation of parameters to find the solution to y"+3y' + 2 y = 4e (a) y,...
Use the Wronskian to show that f(x)-2cosx +3sinx and g(x)-3cosx-2sinx are linearly independent
Find an antiderivative F(x) of f(x) = 2 − 3e^x so that F(1) = 4. show work
Suppose the derivative off exists, and assume that f(4) = 4 and f'(4)=5. Let g(x) = x2 -f(x) and h(x) = f(x) X-5 Complete parts (a) and (b) below. a. Find an equation of the line tangent to y = g(x) at x = 4. Choose the correct answer below. O A. y -64 = 112(x-4) B. y -4 = 5(x-4) OC. y-64 = 40(x-4) OD. y - 4 = 112(x-4) b. Find an equation of the line tangent to...
Need help with this wronskian problem y1(x)=e^(x) * cosx & y2(x)=e^(x) * sinx Find the values of the wronskian y1,y2 Determine if the solutions are linearly independent
Chapter 3, Section 3.2, Question 01 Find the Wronskian of the functions f (t) = e5t and g(t) = 6 Simplify your answer. W (5,9) (t) = Qe
Exercise 21.1 Assume that f is in L"(R) and g(x) = e2-Compute f *g.
4. Find the Wronskian for y1 = x , y2 = cos(2x), and y3 = e . 4. (10 points) Find the Wronskian for yı = 23, y2 = cos(2x), and y3 = e3r.
3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and w(x)-g(f(x)) Use the graphs to find the indicated derivatives. If the indicated derivative does not exist, write "D.N.E." in the space provided. Be sure to include work that shows how you arrived at your answer. 20 a) u'3) b) v-4) c) wl) 3. Below you are given the graphs of the functions f and g. Suppose that: u(x)-f(g(x)), v(x)-f(x) g(x), and...