Class 12

Math

Calculus

Differential Equations

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What is the degree of the differential equation(d3ydx3)2/3+4−3(d2ydx2)+5(dydx)=0?

Solve the equation: $sec_{2}xtanydx+sec_{2}ytanxdy=0$

The differential equation of all parabolas whose axis are parallel to the y-axis is

The solution of the differential equation{1+x(x2+y2)−−−−−−−−√}dx+{(x2+y2)−−−−−−−−√−1}ydy=0 is

If the population of country double in 50 years, in how many years will it triple under the assumption that the rate of increase is proportional to the number of inhabitants.

The differential equation of all parabolas each of which has a latus rectum $4a$ and whose axes are parallel to the x-axis is (a) of order 1 and degree 2 (b) of order 2 and degree 3 (c) of order 2 and degree 1 (d) of order 2 and degree 2

The differential equation of the curve xc−1+yc+1=1 is given by

Let $y_{prime}(x)+y(x)g_{prime}(x)=g(x)g_{prime}(x),y(0)=0,x∈R,$ where $f_{prime}(x)$ denotes $dxdy(x) ,$ and $g(x)$ is a given non-constant differentiable function on $R$ with $g(0)=g(2)=0.$ Then the value of $y(2)$ is______