1. Find for, (x + y)* = tan-14x + T* dx InIny

Q: 3.3 Inx + tanxe d 4-4x -sinte dx

A:

Q: 19-x Evaluate ,* sin(x + y*) dy dx

A:

Q: Show that y = -cosx In(secx + tanx) is a solution of y" +y = tanx

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Q: 1. Find y'. y = x² In(tan-1(2x))

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Q: Determine and of y = (5r - })(cos z + In z

A: Consider y=5x2+32sin x+ln x. Calculate: dydx=y'. Apply product rule of derivative:…

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

A:

Q: Find y" of sin y + cos x = 1 using implicit differtiation

A: Given Data: Equation: siny+cosx=1 ......1   The first differentiation of equation (1) using the…

Q: tan(x+1) Find y' of y =

A: y=tanx+1x

Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: Differentiate. y= In [(x+7)* x + 8)®(x +2)°] dx

A: Given y = ln(x+7)4(x+8)6(x+2)3

Q: Find the general solution of the given system. Homogeneous Linear System X' =    8   0   2 0   7   0…

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Q: If z = In(x – y) + tan(x+y), show that Z==,

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Q: If = cot (8/2).: 5. If show that tan(ß) %3D 2D %3D (D-1)(D+1)

A: Trigonometry is the study of the relationship between the sides and angles of a right-angled…

Q: ,2x Set* sin(e2*)dx

A:

Q: s sec² x /1+tanx dx.

A: I=∫sec2⁡x1+tan⁡xdx

Q: Find dy dx if sin(x + y) = tan(xy)

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Q: 1. cos x sin* x dx

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.