The differential equation of the family of curve \( y^{2}=4 a(x+a) \) where \( a \) is arbitrary....

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=AwPXWfDWCzI


Duration: 2:13
0 views
0

The differential equation of the family of curve \( y^{2}=4 a(x+a) \) where \( a \) is arbitrary constant is
\( \mathrm{P} \)
not
(1) \( y^{2}=4 \frac{d y}{d x}\left(x+\frac{d y}{d x}\right) \)
(2) \( y^{2}\left(\frac{d y}{d x}\right)^{2}+2 x t \frac{d y}{d x}-y^{2}=0 \)
(3) \( y^{2}=\left(\frac{d y}{d x}\right)+4 y=0 \)
(4) \( 2 y=\frac{d y}{d x}=4 a \)


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-22The vectors \( A B=3 i-2 j+2 k \) and \( B C=-i-2 k \) are the adjacent sides of a parallelogram....
2024-01-22If \( r \) satisfies the equation \( r \times(i+2 j+k)=i-k \), then for any scalar \( t, r \) is....
2024-01-22If \( y \cos x+x \cos y=\pi \), then \( y^{\prime \prime}(0) / \pi \) is \( P \)....
2024-01-22The area of a parallelogram having diagonals \( a=3 i \) \( +j-2 k \) and \( b=i-3 j+4 k \) is....
2024-01-22The value of \( \alpha \) for which the vectors \( 2 i-j+k, i+2 j \) \( +\alpha k \) and \( 3 i-....
2024-01-22The solution of differential equation \( \left(1+y^{2}\right)+\left(x-e^{\tan ^{-1} y}\right) \f....
2024-01-22Let \( |a|=3 \) and \( |b|=4 \). The value of \( \mu \) for which the vectors \( a+\mu b \) and ....
2024-01-22A differential equation containing a homogeneous function is called a homogeneous differential e....
2024-01-22The solution of the equation \( \frac{x^{2} d^{2} y}{d x^{2}}=\ln x \), when \( x=1, y=0 \) and ....
2024-01-22A differential equation containing a homogeneous function is called a homogeneous differential e....
2024-01-22The differential equation of the family of curve \( y^{2}=4 a(x+a) \) where \( a \) is arbitrary....
2024-01-22The degree and order of the differential equation of the family of all parabolas whose axis is \....
2024-01-22If \( \left(\frac{2+\sin x}{1+y}\right) \frac{d y}{d x}=-\cos x, y(0)=1 \), then \( y\left(\frac....
2024-01-22The differential equation of the family of parabolas with focus at the origin and the \( x \)-ax....
2024-01-22The solution of \( \frac{d y}{d x}+\sqrt{\left(\frac{1-y^{2}}{1-x^{2}}\right)}=0 \) is....
2024-01-22The order and degree of the differential equation \( \left[1+\left(\frac{d y}{d x}\right)^{3}\ri....
2024-01-22The solution of the equation \( \frac{d y}{d x}=\frac{y^{2}-y-2}{x^{2}+2 x-3} \) is....
2024-01-22The solution of the differential equation \( \frac{d y}{d x}=\frac{x-y+3}{2(x-y)+5} \) is W.....
2024-01-22Match the following lists. \begin{tabular}{|l|l|l|l|} \hline & List -I & & List -II \\ \hline (A....
2024-01-22A function \( y=f(x) \) has a second order derivatives \( f^{\prime \prime}(x)=6(x-1) \). If its....
2024-01-22The solution of the differential equation \( x d y-y d x=\left(\sqrt{x^{2}+y^{2}}\right) d x \) ....