10. S elog2 csc e* dx V1+tan²ex

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A: To  Solve the IVP y′′ + 4y′ + 13y = 0, y(0) = 1, y′(0) = −5

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A: We know if A is a nxn matrix then, det(cA) = cn.det(A) where c be any scalar.  

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A: We use definition of nilopotent matrix.

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A: The given equations are 2x1+x2+2x3+x4=54x1+3x2+7x3+3x4=8-8x1-x2-x3+3x4=46x1+x2+2x3-x4=1 We shall fin...

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A: We will find the given limit: limn→∞-2n4-n We shall use the formula of limits to evaluate it.

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Q: fales, no4, s

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Q: 5. find if wニメy +yそ+ Xそ an d レ メ ニ y = u-レ 2ニuv . U +V

A: To find dw/du and dw/dv from the given expressions. 

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A: Given that p, q and r are prime numbers and p≠q.