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Differential Equations
1. Qd = kP−e(e > 0)
Qs = c(P − T0)
are the demand and supply curves for a commodity whose price is P.
T0 is a sales tax imposed by the government on sales of this commodity.
(a) Compute the price elasticity of demand and the price elasticity of supply of this commodity.
(b) Find an expression for ∂P/∂T0 where P is the equilibrium price in this market.
(c) Show that 0 < ∂P/∂T0 < 1.
(d) Total tax revenue collected by the government is R = T0Q. Find an expression for ∂R/∂T0.
Qs = c(P − T0)
are the demand and supply curves for a commodity whose price is P.
T0 is a sales tax imposed by the government on sales of this commodity.
(a) Compute the price elasticity of demand and the price elasticity of supply of this commodity.
(b) Find an expression for ∂P/∂T0 where P is the equilibrium price in this market.
(c) Show that 0 < ∂P/∂T0 < 1.
(d) Total tax revenue collected by the government is R = T0Q. Find an expression for ∂R/∂T0.
Differential Equations
.1. If L(f(t)) = F(s), then show that L(f(at)) = ( )
2.Write a function for which Laplace transformation doesnot exist. Explain why
Laplace transform does not exist.
3.Find the Laplace transform of
t
1
.
2.Write a function for which Laplace transformation doesnot exist. Explain why
Laplace transform does not exist.
3.Find the Laplace transform of
t
1
.
Differential Equations
i have subject about dynamical systems
the question is prove that an upper bound for the length of the subinterval S1S2-----Sk under G(x) is given by pie/2^(k+1)
where pie the value 3.14---
please try to answer
thank you so much
the question is prove that an upper bound for the length of the subinterval S1S2-----Sk under G(x) is given by pie/2^(k+1)
where pie the value 3.14---
please try to answer
thank you so much
Differential Equations
Solve these equations
dx/dt = (i w1 /2) exp (-i(w0-w)t)
dy/dt = (i w1 /2) exp (i(w0-w)t)
initial conditions are x=1,y=0 at t=0
dx/dt = (i w1 /2) exp (-i(w0-w)t)
dy/dt = (i w1 /2) exp (i(w0-w)t)
initial conditions are x=1,y=0 at t=0
Differential Equations
(890 - 429) x (754 x 468 + 670) = ?
Differential Equations
expand e^-x logy in the serious of positive powers of x and(y-1)upto terms of third degree
Differential Equations
. Find the solution of the Cauchy problem y^n + 10xy = 0, y(0) = 1, y`(0)=7 Plot the graph of the function y= y(x) in the interval 0<_x<_5
Differential Equations
form the differential equation for this
y=ae^x+bln|y|+c+d
y=ae^x+bln|y|+c+d
Differential Equations
find the solution of separable ODE
dy+x^2dx=x^2e^ydx
dy+x^2dx=x^2e^ydx
Differential Equations
find solution of separable ODE
3e^xtanydx+(1-e^x)sec^ydy=0
3e^xtanydx+(1-e^x)sec^ydy=0
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#339914 on Dec 2023
#339914 on Dec 2023