Determine the roots of the characteristic equation for the following homogeneous differential equation 1 2 d2x dt2 −7 dx dt +3x=0 One root is greater than the other (i.e if you placed the two roots on a number line, the greatest root would be the one to the right of the other). Enter the greatest root below, using 2 decimal places. Hint: you may need to use the quadratic formula. 简答题

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The differential equation \[y''+3y'-28y=0\] has a characteristic equation with two distinct real solutions. What is the larger of these two solutions?
Section A: Read the text and answer the questions. Brutalism is an architectural style, introduced in the 1950s. It uses exposed concrete to create geometric structures with a grey appearance. Concrete buildings are often criticised as cold and ugly, lacking the warmth of stone or the smooth feel of steel. However, concrete, as a building material, has unique characteristics. It is extremely flexible when wet, and is adapted to create interesting shapes. Many urban public buildings, such as universities, have also used concrete as the main material to indicate strength and permanence. Instead of keeping Brutalist buildings, many are being demolished to make space for modern styles. However, this does not acknowledge the cultural history of these buildings, and is not sustainable. Fill in the gap with ONE WORD from the paragraph. 1. Brutalist architecture included exposed concrete, which gave a cold Answer Question 1[input] .
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