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Q18 of 26 Page 1

Find the particular solution of the differential equation : given that when

⇒


⇒ …(1)


This is a linear differential equation with


⇒


∴


⇒


⇒ 1 + sinx


⇒ Multiplying both the sides of I by I.F. = 1 + sinx, we get


⇒


Integrating wrt x, we get


⇒


⇒ …(2)


Given that y = 1 when x = 0


⇒


⇒ C = 1…(3)


Put 3 in 2, we get


⇒


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16

A typist charges ₹ 145 for typing 10 English and 3 Hindi pages, while charges for typing 3 English and 10 Hindi pages are ₹ 180. Using matrices, find the charges of typing one English and one Hindi page separately. However, typist charged only ₹ 2 per page from a poor student Shyam for 5 Hindi pages. How much less charged from this poor boy? Which values are reflected in this problem?

17

Find the particular solution of the differential equation given that when

19

Find :

OR


Find :

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Prove that is an increasing function of θ on

OR


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Questions · 26
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