Determine order and degree(if defined) of differential equation yn + 2y' + siny = 0
yn + 2y' + siny = 0
The highest order derivative present in the differential equation is yn. Therefore, its order is two.
This is a polynomial equation in yn and y' and the highest power raised to yn is one. Hence, its degree is one.
Determine order and degree(if defined) of differential equation y' + 5y = 0
Determine order and degree(if defined) of differential equation
\begin{align}\left(\frac{d^2y}{dx^2}\right)^2\;+\;cos\left(\frac{dy}{dx}\right)\;=\;0\end{align}
Determine order and degree(if defined) of differential equation (ym)2 + (yn)3 + (y')4 + y5 =0
The order of the differential equation
\begin{align}2x^2\frac{d^2y}{dx^2}\;- \;3\frac{dy}{dx}\;+ y=\;0\end{align}
is (A) 2 (B) 1 (C) 0 (D) not defined
Determine order and degree(if defined) of differential y' + y =ex
y = Ax : xy' = y (x ≠ 0)
\begin{align} y = xsinx:xy{'}=y +x\sqrt{x^2 -y^2}(x\neq0\; and\; x>y\; or\; x<-y)\end{align}
Determine order and degree(if defined) of differential equation ym + 2yn + y' =0
Determine order and degree(if defined) of differential equation yn + (y')2 + 2y =0
y = x2 + 2x + C : y' - 2x - 2 = 0
Prove that the function f(x) = 5x – 3 is continuous at x = 0, at x = – 3 and at x = 5.
Represent graphically a displacement of 40 km, 30° east of north.
If a line makes angles 90°, 135°, 45° with x, y and z-axes respectively, find its direction cosines.
Maximise Z = 3x + 4y
Subject to the constraints:x + y ≤ 4, x ≥ 0, y ≥ 0
Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis.
Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E ∩ F) = 0.2, find P (E|F) and P(F|E).
The total revenue in Rupees received from the sale of x units of a product is given by
R (x) = 13x2 + 26x + 15
Find the marginal revenue when x = 7.
The vertices of ΔABC are A (3, 5, −4), B (−1, 1, 2), and C (−5, −5, −2).
An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?
Find the direction cosines of a line which makes equal angles with the coordinate axes.
Let A and B be sets. Show that f : A × B → B × A such that f(a, b) = (b, a) is bijective function.