solve the differential equation x cos (y/x) dy/dx=y cos(y/x)+x

Find the radius of curvature at (a,a/2) on the curve 4ay² = (2a - x )^3.

verify that y² =4a(x+a) is a solution of the differential equation y{1-(dy/dx)²}=2xdy/dx

form a differential equation for the curve equation y = e^x(Acosx + Bsinx)

If x^myⁿ = (x+y)^m+n prove that dy/dx=y/x ?

(d²y/dx²)² + sin (dy/dx) = 0

why is the degree of the above given equation not defined ??

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

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^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=cos³x sin⁴x +x root(2x+1) ?

Solve the differential equation which is HDE(Homogeneous differential equation):

(3xy + y²)dx + (x² + xy)dy = 0

Plzzzz answer to this question as soon as possible!!!!

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

The coefficient of y¹¹ in (1 + y)²/(1 - y)² is

what is the deffination of differential equation ?

y'=1/sin⁴x+cos⁴x

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

solve 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)

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

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(x² + y²) ?

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

verify that y=C₁e^axcosbx+C₂e^axsinbx,where C₁and C₂are arbitary constant, is a solution of the differential equation d²y/dx²-2a(dy/dx)+(a²+b²)y =0.

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