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Syllabus

^{2}-1)d^{2}y/dx^{2}+x dy/dx - y/4=0solve the differential equation x cos (y/x) dy/dx=y cos(y/x)+x

sin2x dy/dx + y=tanx

verify that y

^{2 }=4a(x+a) is a solution of the differential equation y{1-(dy/dx)^{2}}=2xdy/dxFind the radius of curvature at (a,a/2) on the curve 4ay

^{2}= (2a - x )^{3.}form a differential equation for the curve equation y = e^x(Acosx + Bsinx)

If x^{m}y^{n}= (x+y)^{m+n}prove thatdy/dx=y/x?^{2}+(x-1/y)dy/dx=0(d

^{2}y/dx^{2})^{2}+ sin (dy/dx) = 0why is the degree of the above given equation not defined ??

form a differential equation for the equation y = acos(x+b)

^{2}= 4ax , where 'a' is the parameter is ?Differentiate the following functions w.r.t x

i) tan^-1(xsina/1-xcosa)

ii) cos^-1{(3cosx - 4sinx)/5}

What is the order and degree of the given differential equation? Explain.

Please check is this differential equation nfor

y=e

View Raw Image"^{x}(acosx+bsinx)Find the degree and order of the differential equation x(dy/dx) +2(dx/dy)=y^2. Please tell me how to simplify.

form a differential equation for the equation y = asin2x+bcos2x

Solve the differential equation dy/dx=cos

^{3}x sin^{4}x +x root(2x+1) ?1+(dy/dx)

^{4}= (d^{2}y/dx^{2})^{3}^{3}y/dx^{3})^{2/3 }+4 -3(d^{2}y/dx^{2})+5dy/dx^{3}x cos^{2}x + xe^{x}is -?ii) the solution of x(e

^{2y}- 1) dy + (x^{2}- 1)e^{y}dx=0 is -?i) xy = ae

^{x}+ be^{-x}; ( a, b)ii) y = (a + bx)e

^{k x}; ( a ; b)y=e

^{2x}(a+bx)^{x}(sin^{2}x + sin2x)]/[y( 2 log y + 1)] is?ii) the solution of (cosecx log y ) dy + (x

^{2}y) dx =0 is?Solve the differential equation which is HDE(Homogeneous differential equation):

(3xy + y

^{2})dx + (x^{2}+ xy)dy = 0Plzzzz answer to this question as soon as possible!!!!

^{2}^{}dy +(xy+y^{2})dx=0 given y=1, when x=1.2. find the particular solution of the differential equation xdy/dx + y - x + xycotx=0 , given that when x=^/2, y=0.

Find the differential equation of the family of circles having centres on the x-axis and passing through the origin.

what is the deffination of differential equation ?

y'=1/sin

^{4}x+cos^{4}xx= 1 andy=π / 2.Solve the following differential equation

dy/dx = xy + x + y + 1

form the differential equation of ax2 + by2 = 1 where a and b are the arbitary constants

The coefficient of y

(A) 44 (B) 42 (C) 40 (D) 46Please help me out.....^{11 }in (1 + y)^{2}/(1 - y)^{2}issolve X/(sinx)=K

vipin verma sir from many days these ques r pending plz ans soon exams on my head u see earlier many times i reposted this q but no response

1- let u= ax+by+ a( b)1/3=0 , v= bx-ay +b (a)1/3=0, a,b belongs to r be 2 st lines eqn of bisectors of angle formed by k1u-k2v=o, and k1u + k2v=0 for non zero real k1 and k2 r ............

2- the parallelogram is bounded by lines y= ax+c, y= ax+d, y= bx+c, y=bx+d has area= 18 parallelogram bounded by line y= ax+c , y=ax-d,y= bx+C, And y= bx-d has area 72 find a, b,c,d

Solution of differential equation dx/dy= x+y+7/ 2x+xy+3 is?

by using transformation z=ex(tanx/2)the diff equation y2+cotx y1+4ycosecx *cosecx reduces to?

dy/dx=x(2y-x)/x(2y+x)

where the 2 went ? please view link, they multiplied by 2 on both sides and 2 dissapered.

please tell me how this thing works.

i mean does xdx + ydy = d(x

^{2}+ y^{2}) ?then is the solved one wrong plez tell.

they dont let me add link so please copy and paste and remove the spaces.

https://www.dropbox.com /s/h75lljdnku7g9 8r/Screenshot 20 13-11-09 1 2.49.18.png

dx/dy+y/x=cosx+sinx/x, x0...........solve the differential equation

verify that y=C

_{1}e^{ax}cosbx+C_{2}e^{ax}sinbx,where C_{1}and C_{2}are arbitary constant, is a solution of the differential equation d^{2}y/dx^{2}-2a(dy/dx)+(a^{2}+b^{2})y =0._{1}_{+}c_{2}) cos (x+ c_{3}) - c_{4}e^{x+c5}where c1, c2,c3,c4,c5 are arbitary constants is of orderANS: 3 how ?

if y*y=p(x) is polynomial of degree 3 then 2d/dx(y*y*yd2y/d2x)is

Q.1

Consider the following differential equations:

What is the difference between order of the first differential equation and degree of the second differential equation?

PLEASE solve quickly...need it....urgent

verify that y=C

_{1}e^{ax}cosbx+C_{2}e^{ax}sinbx,where C_{1}and C_{2}are arbitary constant, is a solution of the differential equation d^{2}y/dx^{2}-2a(dy/dx)+(a^{2}+b^{2})y =0.^{2}, is?ii) the eqn of curve through the point (1,0) & whose slope is (y-1)/(x

^{2}+x) is?