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Differential Equations
x^2y''-7xy'-20y=0 if y1=x^10
Differential Equations
solve differential equation dy/dx=(2x^2+y^2)/(-2xy+3y^2)
Differential Equations
Show by wronskian that the following functions are linearly independent over all reals: e^axcosbx,e^axsinbx
Differential Equations
If the productivity of s company is represented by the function
f(x,y)=40x3/4y1/4 with the utilisation of x units of the capital. Find
i) Fx and Fy and interpret
ii)If today the company is using 400 units and 250 units of labour and capital respectively.
determine the change in productivity if the labour is increased y 12 units and the capital is decreased by 8 units.
Differential Equations
if the supply and the demand of a certain product is given by
D(t)=95-5p(t)+2p'(t) and
S(t)=35-p(t)+3p'(t) respectively where p(t) is the price at any time t. Find the equilibrium price and the long range equilibrium price given that p(0)=50
D(t)=95-5p(t)+2p'(t) and
S(t)=35-p(t)+3p'(t) respectively where p(t) is the price at any time t. Find the equilibrium price and the long range equilibrium price given that p(0)=50
Differential Equations
solve
xy'+2y=x2lnx
Differential Equations
y''-2y'-3y=2e-x-10sinx
Differential Equations
y''-4y'+3y=9x3+4 y(0)=6 y'(0)=8
Differential Equations
y''-3y'+2y=2x2+ex+2xex+4e3x
Differential Equations
y''-2y'-8y=4e2x-21e-3x
