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Rishabh Sharma Grade: 10
        

pls help me ,I couldnt solve these


q1: if y=ex+e^x+e^x+...........∞,then dy/dx equals


q2:if x=at2 and y=2at then (xy*d2y/dx2)  is equal to


thank u

6 years ago

Answers : (2)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Rishabh


I think there is some mistake in question 1


confirm the qustion and try to do it by taking log


question2


dy/dx= (dy/dt)/(dx/dt)


dy/dt=2a


dx/dt=2at


dy/dx=1/t


d2y/dx2= d/dx(dy/dx)


use chain rule


d2y/dx2= d/dt(dy/dx)*dt/dx


=d/dt(1/t)*1/2at


=-(1/t2)*1/2at


=-1/2at3


xyd2y/dx2=at2*2at*(-1/2at3)= -a


 


 All the best.                                                          


AKASH GOYAL


AskiitiansExpert-IIT Delhi


 


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6 years ago
vikas askiitian expert
510 Points
										

1)


y=ex+e^x+e^x+...........∞


Y =ex+y 


dy/dx = ex+y(1+dy/dx)


dy/dx = (ex+y/1-ex+y )




2)


x=at2 ...........1


y=2at    ..............2


x/y = t/2   .........3


put t in eq 2


y = 4ax/y


y2 = 4ax


now differentiating above eq


2ydy/dx = 4a         .............1


again differentiating


2[(dy/dx)2 +yd2y/dx2] = 0        


d2y/dx2 = -(dy/dx)2/y          ..........2


multiply above eq by xy


(d2y/dx2)xy = -x(dy/dx)2


                      =-x(2a/y)2                    (from eq 1)


approve if u like my ans



6 years ago
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