Recent content by hibernator

Amazing idea that i never thought before ! TQ so much eumyang..

Homework Statement prove that sin^4theta + cos^4 theta =1/4 (3+cos4theta).hence,find the greatest and least value of sin^4theta + cos^4 theta. please give hints to start . no idea at all...i start from the RHS and get 2cos^4 theta - 2 cos^2 theta +1 , then how sin^4theta + cos^4 theta...

I will try , thank you so much for your help ^^

Same answer as mine.I got y= x(2+Ax^3)/1-Ax^3 .But the textbook's anwser is saying that 'Ax^2.The textbook probably wrong?

no , I have done using dy/dx= x dv/dx+ v, from the equation x2dy/dx = y2-2x2 .

I start after from my showing. x dv/dx = (v-2)(v+1) dv/dx = (v-2)(v+1) / x dx/dv = x / (v-x)(v+1) 1/x dx = 1 / (v-2)(v+1) dv Then I start to integrate , I am still new , so I don't know how to use to type the symbol.Sorry for the inconvenience. 1/x dx = 1/3 ( (1 / (v-2) )- ( 1/ (v+1) )...

Homework Statement Substituition y=vx , differential equation x2dy/dx = y2-2x2 can be show in the form x dv/dx = (v-2)(v+1) Hence , solve the differential equation x dv/dx = (v-2)(v+1) ,expressing answer in the form of y as a function of x in the case where y > 2x > 0 . The Attempt...