4. y = Ce* + Czxe*

Q: 10. x(x² + y²)²Cydx – xdy) + yºdy = 0.

A:

Q: (b) Predict y when x, 180 and x, = 320. =

A:

Q: m) Linearize : -3x 天ェ_= around %31

A:

Q: 4 S Evaluate: dxdy 0 2y

A:

Q: 6) (7 tarr-3/2 x secdx dx

A: Here we have to solve the given integration.

Q: y= 16 +. 16 tan' (7x) y=e

A:

Q: olve y′′′′+ 3y′′−4y = e^2t

A:

Q: 2 STT «²-2y+xz) dydzdx= -2°1 .A 27 4 .B 17 4 .C 17 4 .D 27 4

A:

Q: 5x'y 10x y (h) 25x (1) 15xy

A:

Q: Tell the value of each variable: X1 X2 S1 S2 P [1 5 0 8 27 0 6 1 0 7 0 23 90 1 |296 X2 = S1 = S2 = P…

A: Here x1=27, x2=0, s1=90, s2=0, P=0

Q: y = x - 2 y InU

A: The slope intercept form of the line is given by y=mx+b where m is the slope and b is the y…

Q: 13 fx x² +y dydx 00

A:

Q: find dy>dx.

A: Given: y=cscx-4x+7ex To find: dydx Solution: Power rule of differentiation states that: ddxxn=nxn-1…

Q: 2 4 Evaluate -dxdy y

A:

Q: 2 =1+y, y = 26(t – 1) + 4x,

A:

Q: 11- y" - y' = e* + e* +x?

A:

Q: Find (or) y' 9x In x b. Let y =

A:

Q: 12y-y=e

A:

Q: 17. y ′ = e x + y

A: Given: y'=dydx=ex+y we know that ea+b=ea.eb                                  ...1

Q: 3x + y = 18 if x. y how many can be

A: The given question is solved below by hit and trial method:

Q: Eliminate the arbitrary constants A and B: y = Ae-2x + Be³x

A: We have to solve

Q: 25. y = 5 cot r²

A: Please see the answer in Step 2

Q: 9. If x? - xy +y 3, find y' and y".

A:

Q: (og, y)² dy y

A: We have to integrate the given integral.

Q: f (t) = 38(t) – 4u(t – 2) + 58(t – 5) + 2u(t – 3) %3D

A:

Q: ху K,y) -> (0,0) equal zero

A:

Q: 70. x +y = 4 3D4 . %3D

A: Explanation and solutions is given below....

Q: Q.1) Evaluate # dydx 4

A:

Q: Complete the table. y + 1 = -X -2 0 1 Alu y 00000 (x, y)

A:

Q: (a) r'y"- ry + y = 2x, a>0

A:

Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: Cis=C, where C is an arbitrary constant, and ne variables.)

A: According to the given information it is required to solve the differential equation

Q: C. 6x rewrite y= %3D

A: The above term can be rewritten by using Binomial expansion as:→y=(1+z)n = 1+nz+n(n-1)z22! +…

Q: 0.5 0.3 0.4

A: Q2 We have to find the value of h

Q: 11 Find the length of XZ. Y 109°

A: Here the radius of the circle is      r = 6 unit.  Then circumference of the circle is      C =…

Q: y= C, x? + Ca e 2*

A:

Q: 19. tdydt+(t+1)y=e2t

A: Given, t dydt+t+1y=e2t Now divide the above equation by t we get, ⇒dydt+1+1ty=e2tt Here, P=1+1t

Q: j + 28.6 = 43

A:

Q: 6. I = = 0.22– 30° 26+ jl5

A: First try to rationalize the I and then find magnitude and argument of I.

Q: 1+x+y dzdyax Jc JO Jo

A: To evaluate the given iterated integral.

Q: || S 37 I+zx/ xp x

A: the given integral is ∫xdxx2+13 substitute  x2+1=u2xdx=duxdx=du2 therefore the given integral…

Q: 3) Find if y = 5x5e* dx

A:

Q: 4. y = e 2coscns (2x) 5. y = e

A: Here we have to find the derivative of question number 4 &5

Q: Find y' for y= (2% lu (x=2x)) 5

A: Given,          y=2x-lnx2-2x3log4x5

Q: w = (1³ + 11)8| dw dt

A: Given :   To find

Q: Dist. (X) Height (y) 1 7 12 15 4 16 15 12 7 7

A: Given,   Dist.(x)   Height(y)      1        7      2       12      3       15      4…

Q: 28.t2y″ − 4ty′ − 6y = 0

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.