WebPage 1 of 2 Code No.: 20MTC06 12 (a) Find the general and singular solution of the clairaut’s equation (5) 4 3 2 𝑦 = (𝑥 − 𝑎)𝑝 − 𝑝 (b) 𝑑𝑥 𝑥 1 (4) 4 3 Solve + = 𝑑𝑦 𝑦 𝑙𝑜𝑔𝑦 𝑦 (OR) 13 (a) Find the orthogonal trajectories of the curve 𝑟 = 𝑎 𝑐𝑜𝑠2𝜃. WebIf x log y =log x then show that dy /dx= y[1-logxlogy]/x(log 2 x) hey yamini take log on both sides log x log y = log(log x) logy*log x = log ... and (2.5l + 0.5m) Please solve andanswer …

Differential equation is ylogy dx + (x-log y) dy = 0. Can anyone tell ...

WebMar 16, 2024 · Transcript. Ex 9.6, 7 For each of the differential equation given in Exercises 1 to 12, find the general solution : 𝑥𝑙𝑜𝑔𝑥 𝑑𝑦/𝑑𝑥+𝑦=2/𝑥 𝑙𝑜𝑔𝑥 Step 1: Put in form 𝑑𝑦/𝑑𝑥 + Py = Q xlog x 𝑑𝑦/𝑑𝑥 + y = 2/𝑥 log x … WebExample 1: Solve the equation 3 y y dx dy = + Solution: The given differential can be written as 3 y y dx dy − = which is a Bernoulli equation with p x ( ) = −1, q x( ) = 1, n=3. Dividing with y 3 we get 1 3 2 − = − − y dx dy y Therefore we substitute 1 − 3 − 2 v= y =y; Linear and Non-linear Differential Equations 2. the petersens bluegrass band ages

If xdy/dx = y ( log y - log x + 1 ) , then the solution of the ... - Toppr

WebCosecy sec x the variables Sing dy = - cos x dx : sing - cosecy and Cosu = 1 Integrating both the sides, secx sing dy = [ - cos x dx f cosy = + cos2 xdx 5 : S sing dy = - cosy Cosy = Scos index we know that CO8 2 x = 2 C082 - 1 CO8 x = 1+ Cos 2x 2 cosy= ][ 1+ COS 24 cosy = 1 [ x + Bin 2 x ] + C Cos 2x dx = 8 in 2x 2 cosy = 21 + 1 8in2x + C 2 Ang 4 Choose any one , all or … WebMay 15, 2024 · 4 Answers. Sorted by: 1. Define L ( x) = log f ( x). Take the derivative, L ′ ( x) = d L ( x) d x = f ′ ( x) f ( x) by definition of logarithm derivative. Now rewrite this as. f ′ ( x) = f … WebBy rearranging the give differential equation we get , dx/dy =1/y -x/ (ylogy) dx/dy + x/ (ylogy) =1/y. Now, calculate the integrating factor (IF), e ∫1/ (ylogy) =I.F. Taking, logy=t (say) … sicilian new mills