Represent the following families of curves by forming the corresponding differential equations (a being parameter): (i)(x−a)2−y2=1(ii)x2+y2=ax3 View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, ...
The differential equation of the family of curves y=ax+(1)/(a) where a!=0 is an arbitrary constant has the degree
Differential Equations Find the differential equations of the following family of curves. 1. Parabolas with axis parallel to the y – axis with distance vertex to focus fixed as a. 2. Parabolas with axis parallel to the x – axis with distance vertex to focus fixed as a. 3. All ellipses...
The main design strategies include manual design, NAS, and theoretical derivation, including optimization algorithms and ordinary differential equations (ODEs). Manual design. The most common design strategy is manual design. As for image recognition, AlexNet [1] and VGG [2] achieved breakthrough ...
13). Cyclic DSC curves of ZW-UiO-67·MSA (within 0 ~ 150 °C) show two exothermal events respectively at 114 and 95 °C during cooling (Fig. 2a, Supplementary Fig. 5b), while a Tg onset appears at 104 °C in the following up-scan. No Bragg diffraction found for a...
13). Cyclic DSC curves of ZW-UiO-67·MSA (within 0 ~ 150 °C) show two exothermal events respectively at 114 and 95 °C during cooling (Fig. 2a, Supplementary Fig. 5b), while a Tg onset appears at 104 °C in the following up-scan. No Bragg diffraction found for a...
We are concerned with the problem of investigating the properties of poles of functions which are the analytic continuation of solutions of some parametrized family of first order ordinary differential equations. We investigate the dependence of the position of poles on some parameter....
The peak areas were used in the equations from the standard curves to calculate the concentrations of Ab in the tissue samples, which were expressed as nmol of Ab per g of wet brain tissue. The total CNBr cleavage yield as well as the yield from the plaque core preparation procedure as ...
The differential equation of the family of curves y=ex(Acosx+Bsinx), where A and B are arbitrary constants is (a) (b)(c)(d)(e)(f)d(g)2(h)(i)yj((k)d(l)x(m)2(n)(o))(p)(q)−2(r)(s)dyt((u)dx)(v)(w)+2y=0(x) (y) (z) ( a a ) (bb) (cc)(( d d...
If the differential equation of the family of curve given by y=Ax+Be^(2x), where A and B are arbitary constants is of the form (1-2x)(d)/(dx)((dy)/(dx)+ly)+