Determine differential equation
Find out whether the given differential equation is exact. If it is exact, solve it. (y ln y ? e?xy) dx + (1/y + x ln y) dy = 0.
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Carry out eulers method twice to approximate to this solution on interval [0, 0.5], first with step size h = 0.25, then with step size h = 0.1. Compare the three decimal-place values of the two approximations at x = 0.5 with the value y(0.5) of th
A copper pipe, employed for plumbing from the water main to a house, is 5 meters long and has a circular cross-section 2.8 cm in diameter. There is a 2 cm diameter hole in the center of the cross-section for the entire length of the rod. What is
Show that the following equation has a solution of the form u(x,y) = e^(ax+by). Find the constants a and b: u_xx + u_yy = 5e^(x-2y)
The following data can be employed to approximate the integral: M = ?3? ÷ 2 0 cos x dx N1(h) = 2.356194 N1(h ÷ 2) = -0.4879837 N1(h ÷ 4) = -0.8815732 N1(h ÷ 8) = -0.9709157 Suppose a formula exists of the type given in
Find the value of k so that the given differential equation is exact. (y^3 + kxy^4 ? 2x) dx + (3xy^2 + 24x^2(y^3)) dy = 0.
Prove the following Theorem. If (X,d) is a metric space, then there is bounded metric on X which is equivalent to d. recall: When we say a metric p is bounded, we mean that there exists an M >0 such that p(x,y) <= M for all x,y in X.
Determine the relation between recursion and induction? How do you go about finding an explicit (closed-form) formula for a recursion relation?
Find out the current i at any time t after the switch is closed. 3 Determine the maximum current that can be obtained from the simple circuit?
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