Question
Form the differential equation from the relation $x^2+4 y^2=4 b^2$.

Answer

$
x^2+4 y^2=4 b^2
$
Differentiating w.r.t. $x$, we get
$
2 x +4\left(2 y \frac{d y}{d x}\right)=0
$
i.e. $x +4 y \frac{d y}{d x}=0$ is the required D.E.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If $A=\left[\begin{array}{ll}2 & 5 \\ 3 & 7\end{array}\right], B=\left[\begin{array}{cc}1 & 7 \\ -3 & 0\end{array}\right]$, find the matrix $A-4 B+7 I$, where I is the unit matrix of order 2 .
Calculate the cost of living index.
Group Food Clothing Fuel & Lighting House Rent Miscellaneous
I 200 150 120 180 160
W 30 20 10 40 50
Given following statements
$\text { p: } 9 \times 5=45$
q: Pune is in Maharashtra
$r : 3$ is the smallest prime number
Write truth values by activity
$ \text { i) }(p \wedge q) \wedge r=(\square \wedge \square) \wedge \square$
$=\square \wedge \square$
$=\square $
$\text { ii) } \sim(p \wedge r)=\sim(\square \wedge \square)$
$ =\sim \square$
$=\square $
iii) $p \rightarrow q=\square \rightarrow \square$
$\square$
$\square$
$=$
For each of the following matrices, find its transpose and state whether it is symmetric, skew-symmetric or neither:
$\left[\begin{array}{ccc}1 & 2 & -5 \\ 2 & -3 & 4 \\ -5 & 4 & 9\end{array}\right]$
Complete the truth table.
pqrq → rr → p(q → r) ˅ (r → p)
TTTT$\square$T
TTFF$\square$$\square$
TFTT$\square$T
TFFT$\square$$\square$
FTT$\square$FT
FTF$\square$T$\square$
FFT$\square$FT
FFF$\square$T$\square$

The given statement pattern is a $\square$
A company decides to set aside a certain amount at the end of every year to create a sinking fund that should amount to $\text ₹ 9,28,200$ in 4 years at $10 \%$ p.a. Find the amount to be set aside every year. [Given: $(1.1)^4=1.4641$ ]
Following is the probability distribution of an r.v. X.
X-3-2-10123
P(X=x)0.050.10.150.200.250.150.1
Find the probability that
(i) X is positive.
(ii) X is non-negative.
(iii) X is odd.
(iv) X is even.
For each of the following matrices, find its transpose and state whether it is symmetric, skew-symmetric or neither:
$\left[\begin{array}{ccc}0 & 1+2 i & i-2 \\ -1-2 i & 0 & -7 \\ 2-i & 7 & 0\end{array}\right]$
Evalute : $\int \frac{d x}{25 x-x(\log x)^2}$
If X follows Poisson distribution such that P(X = 1) = 0.4 and P(X = 2) = 0.2, find variance of X.