What is the order of the differential equation?
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Solve the differential equation: (i) (1+y2)+(x−etan−1y)dxdy=0 (ii) xdxdy+cos2y=tanydxdy
A function y=f(x) satisfies the condition f′(x)sinx+f(x)cosx=1 being bounded whenx→0. Ifl=∫π/20f(x)dx, then
Find the curve for which the length of normal is equal to the radius vector.
The solution of ye−yxdx−(xe(−yx)+y3)dy=0 is
Find the real value of m
for which the substitution y=um
will transform the differential equation 2x4ydxdy+y4=4x6
in to a homogeneous equation.
The differential equation representing the family of curves y2=2c(x+c), where c is a positive parameter, is of (A) order 1 (B) order 2 (C) degree 3 (D) degree 4
Find the order and degree (if defined) of the equation:
Find the equation of a curve passing through (0,1) and having gradient 1+x+xy2−(y+y3)at(x,y)