The particular solution of dy/dx = x + 1 given that x = 0, y = 3 is
y = x log (x + 1) - x + 3
y = (x + 1) log (x + 1) - x + 3
y = (x + 1) log (x + 1) - x + 2
y = (x + 1) log (x + 1) - x + 1
The differential equation corresponding to y = kx is ______.
y = x. dy/dx
y = k. dy/dx
dy/dx = k. dy/dx
y = kx + c
tan-1x + tan-1y = c is the general solution of the differential equation
(1 + x2)dy + (1 + y2)dx = 0
The order of the differential equation is ________.
1
2
3
4
A differential equation whose equation is y = cx + x2, where c is a constant, is _________.
dy/dx = y + x2
dy/dx + y = x2
x.dy/dx - y = x2
x.dy/dx + y/x = x2
The degree of the differential equation is ______.
0
The order of the differential equation dy/dx = sinx is ______.
Equation of the curve passing through (3, 9) which satisfies the diff:equation dy/dx = x + 1/x2 is
6xy = 3x2 - 6x + 29
6xy = 3x3 - 29x + 6
6xy = 3x3 + 29x - 6
None of these
If m is the order and n is the degree of the differential equation then
n = m
n = m + 1/2
n = m + 1
m + n = 2
The degree of the differential equation is
5
