Question

Find dy if y = 6x^2 – 3 cos x + 4 cot x + 2e^-x-5/x
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Answer 1

Step-by-step explanation:

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dxdy+x2−1xy=1−x2x4+2x

This is a linear differential equation

I.F. =e∫x2−1xdx=e21ln∣x2−1∣=1−x2

⇒ solution is

y1−x2=∫1−x2x(x3+2)⋅1−x2dx

or y1−x2=∫(x4+2x)dx=x55+x2+c

f(0)=0⇒c=0

⇒f(x)

Answer 2

Step-by-step explanation:

Angles made by a transversal with two lines : When two lines AB and CD are cut by a transversal PO at points M and N respectively, eight angles are formed; four angles at point M are numbered as 21, 22, 23 and 2A, whereas four angles at point N are numbered as 25, 26, 27 and l