viry? y Sinx dz dy dx

Q: .D dy + x?y = sin(x) dx

A:

Q: Sy? sin y dy

A: Here we have to integrate the given integral

Q: 4) SE (8 y? + sin y ) dy 2

A:

Q: - 3人 dy dx + 34= 3Xe %3D the く.Juc

A: dydx+3y=3x2e-3x The above equation is linear differential equation of the form dydx+pxy=qx whose…

Q: dy + 3x?y = x', x?, y(0) = 2. %3D dx

A: The given differential equation is  dy/dx + 3x2y = x2 y(0) = 2

Q: find dy Bor the bunton y= dx xucna

A: Concept - take log on both sides and after that take derivative on both side

Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x…

Q: 4 ry sin (x? + y*)dxdy Find

A:

Q: ex* dx dy to

A: Definition used -         Change of order of integration - Sometimes we have to change the order of…

Q: dy If y = Arc sin V6x), then dx

A: Given: y=Arcsin6xfx=e2x+1

Q: Find y". y = edx sin Bx y" =

A:

Q: I.1. 2ry dy dx

A: Evaluate: ∫12∫04 2xy dy dx

Q: TT x sin y dydx 0.

A: Given: ∫01∫0πxsinydydx Evaluate the integral. ∫01∫0πxsinydydx=∫01xdx-cosy0π=∫01x2dx=2∫01xdx

Q: Lo arctan(x)dx

A:

Q: dy _(2x — у +1)? 2х — у %3D dx

A: We have to solve the differential equation dydx=2x-y+122x-y. The independent variable in this…

Q: x sin? dy = (ysin? – x) dx %3D

A:

Q: Ss(-y+ye=y)dx + (x + xeªy)dy,

A: Given data:     The given integral is: .   The expression for the Green’s theorem is, Compare it…

Q: / Fnd dy An CInsx) (4) (tan (2n 9x) secx e Y= (cot 5x)

A: Derivative using log

Q: y = csc (x’ + 10x), Find dy/dx O (7x6 + 10) csc (x7 + 10x) cot (x7 + 10x)

A: Given: y=cscx7+10x

Q: If y = Vu+2 and u 4x - 2, then dy/ dx is

A:

Q: dy y + 3x %3D dx

A:

Q: Find fre dz |2e*dx

A:

Q: メ tan y.dx イ X" dう ニ ○ 2(ty')

A:

Q: dy dso +ム dx? 3- dxu コ dy = 子

A: We have to solve the given differential equation that is we have to find the complementary function…

Q: seco SI sin 20 dp dộ dên o Jo

A:

Q: find dy/dx, y=sin(sqrt(sin(sqrt(x)))

A: Given:

Q: dy =1 – y? dx .2

A: dydx=1-y2 On simplification, we get dy1-y2=dx

Q: ind dy/dx Y=x^2 e^x-xe^y^2

A:

Q: SS(x, y) dA = [ [ dx dy R

A:

Q: Sove dy/dx = 14xy -2x y(0) = 12

A: Given ,dydx=14xy-2x , y0=12we have to solve the differential equation…

Q: find dy/dx,y=sqrt(sinx+y)

A: Given,

Q: c) Sa* sin*x dx

A: To evaluate : The integral  ∫π43π4 sin4 x dx .

Q: If y = 4x sin (5x), find Y a. dx

A:

Q: a) * sec?(x) tan°(x) dx

A:

Q: If y=x2ex  sinx ,FInd dy/dx

A: The given equation is, y=x2exsinx Then, differentiate by the chain rule as,…

Q: Luz Lus Vx dx dy 2X+リ dy dx 2. ye

A:

Q: If y = cos(5x³), find and y dx2 dx

A: Given that  y = cos(5x3) we need to find y' and y". Where y' = dy/dx and y" = d2y/dx2 Now, y =…

Q: dy dx ycsc 2x = y, .3 tan x

A:

Q: dx A) cosh (*) O tan sin sinh

A: Given query is to find the value of the integral.

Q: dy +l ytl さch (-smにス+c) Seperoble

A:

Q: If y = cosx, then dy dx is

A: Given that y = cosx  And we find its first derivative with respect to x. And after we put the value…

Q: if y=sin(x), find dy

A:

Q: Pue 11:59 tonight dy%3Jg cas Vg dx du= dy. dx 11

A: Given the differential equationdydx=18ycos2(y)

Q: dy Find , if x + y = 9xy. 4 %3D dx

A: We use implicit differentiation for this Question

Q: A. ((x+1)? -y? ) dy dx

A: Sol

Q: Se X ết Sinrd Secose da dx

A: We will use integration by parts to solve the integral .  ∫uv dx=u∫vdx -∫dudx∫v dxdx

Q: d²y +y = tan x dx?

A: