Solve the questions above using MAPLE SOFTWARE. 1. Find the Wronskian of the giv

Question

Solve the questions above using MAPLE SOFTWARE.

1. Find the Wronskian of the given pair of functions in each part. (a) e2x cos a, e2r gin a (b) e"2r, re 2. Use Euler's formula: e': cos +i sin to rewrite the following expressions in the form a +bi. (a) (b) 2-1+ (a) y"-4y, +4y= 0; y(0) = 2, y'(0)= 3. (e) y"-5y' +6y = x2 + 1; y(0)-1, y,(0) = 1. 3. Find the solutions to the following second order differential equations with initial values. . Find the form of the particular solution yp for the differential equation below. Do not evaluate the constants. Show that the equation (y/z + 6x) + (Inz-2)y, s: 0 for c > 0 is exact and solve it.

Explanation / Answer

Solution 1:

Wronskian command is present in vector calculus in mapple.

(i) with(VectorCalculus);

Wr = Wronskian([e^2xcosx,e^2xsinx],x);

det(Wr);

(ii)

with(VectorCalculus);

Wr = Wronskian([e^(-2x),xe^(-2x)],x);

det(Wr);

Note: Wronskian(f,t) gives the matrix.

Wronskian(f,t,det) gives the Wronskian of the matrix.

Where f are the functions, t is the variable with respect to which differenciation is carried out.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.