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For a first order linear differential equation the solution process is as given below:
1. Place the differential equation in the correct initial form, (1).
2. Determine the integrating factor, µ (t) and using (10).
3. Multiply everything in the differential equation through µ (t) and verify that the left side turns into the product rule (µ (t) y(t))' and write this as such.
4. Integrate both sides; ensure you properly deal along with the constant of integration.
5. Resolve for the solution y(t).
A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t
tan 2x = 1
Graph ( x - 2) 2 /9+4(y + 2) 2 = 1 Solution It is an ellipse. The standard form of the ellipse is ( x - h
who discovered unitary method
sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel
us consider the following mass-spring-damper system: md2xdt2+cdxdt+kx=0 with m=5 kg as the mass of the body, k=1.6N/m as the spring constant and two different values of c.
The width of a rectangle is 30.5% of its length l. Write a formula for the area and perimeter of the rectangle in terms of l only
1/2+3/4
The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to
howto know whether a region is bounded or not
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