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Definition of delay differential equation with one example
Eliminate arbitary constants from z-(x-a)2=(y-b)2 to form the partial differential equation
Given an example of an elliptic partial differential equation of 2nd order,
justifying your answer
Under certain conditions, orange is converted into juice at a rate, which is proportional to the
amount unconverted at any time. If out of 70 grams of juice at t = 0, 6 grams are converted
during the first 3 minutes, find the amount converted in 1.5 hours.
a. Form partial differential equation from the relation Β½ (π§ β π¦2) = Ζ (1 + log π¦).
b. Solve the partial differential equation of Lagrangeβs form (π₯ β π)π + (π¦ β π)π = π§ β π
a. Solve the differential equation π iπ(π₯ + π¦) + πππ (π₯ + π¦) β ππ¦/ππ₯ = 0.
b. Solve the differential equation (π·2 + 4π· + 13)π¦ = cos 3π₯.
c. Eliminate arbitrary constants from π§ β (π₯ β π)2 = (π¦ β π)2 to form the partial differential equation
Solve the homogeneous differential equation π₯π¦ ππ¦/ππ₯ = π¦2 + π₯2 πy/ππ₯Β Β Β .
Β Β Β Β Β Β Β Β Β Β Β Β Β
Find the differential equation whose solution is π¦ = π΄π₯ + π΅π₯2.
Given the following
C=300+0.75 (Y-T)
I=100
G=200
T=50
a) calculate the equilibrium income
b) calculate the consumption
c) solve the value of the marginal propensity to consume
d) Graph the consumption function
Find the general solution.
- 4y^(4) β4yβ²β²β² β23yβ²β² +12yβ² +36y = 0Β
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