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Question: Solve the initial value problem 2x'' +x'-x =27 Cos2t +6 Sin 2t, x(0)=2 , x'(0)= -2 by using Laplace transform method.
Systems of Equations Revisited We require doing a quick revisit of systems of equations. Let's establish with a general system of equations. a 11 x 1 + a 12 x 2 +......
Problem: A person has 3 units of money available for investment in a business opportunity that matures in 1 year. The opportunity is risky in that the return is either double o
What does the abbreviation ''GSA'' mean?
Example of division of fractions: Example: (4/5)/(2/9) = Solution: Step 1: Invert the divisor fraction (2/9) to (9/2). Step 2: Multip
A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just im
If r,R denote position vectors of points on the straight lines in the direction of a and b respectively, and if n is a unit vector perpendicular to both these directions, show that
How to Adding Polynomials? The numerical part of a monomial is called the coefficient. For example, the coefficient of 5x is 5. The coefficient of -7a 2 b 3 is -7. Like
The m&m factory produces 2,500 packs of plain m&ms each day. Represent the total number of packs of plain m&ms the factory makes each day
limit x APProaches infinity (1+1/x)x=e
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