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Differential Equations
Show that the following equation has a solution of the form u(x,y) = e^(ax+by) and find the constants a and b:
U_xx + U_yy = 5e^(x-2y).
U_xx + U_yy = 5e^(x-2y).
Differential Equations
Show that the following equation has a solution of the form u(x,y) = e^(ax + by), and find the constants a,b:
U_x + 3U_y + U =0.
U_x + 3U_y + U =0.
Differential Equations
Show that the following equation has a solution of the form u(x,y)= e^(ax + by). Find the constants a,b for the example:
U_x + 3U_y + U = 0.
U_x + 3U_y + U = 0.
Differential Equations
y=(x^3+1)sech^2x
Differential Equations
Express the solution to the following counting problem in terms of a difference
equation, then use a generating function to solve the difference equation to give an
explicit solution:
Bob is threading beads onto a wire to make a decorative keyring. He has an
unlimited supply of 2 cm long beads in a choice of red, orange, yellow, green, blue,
or purple, as well as an unlimited supply of 1 cm long black beads. If the wire is n
cm long, how many different sequences of beads are possible?
equation, then use a generating function to solve the difference equation to give an
explicit solution:
Bob is threading beads onto a wire to make a decorative keyring. He has an
unlimited supply of 2 cm long beads in a choice of red, orange, yellow, green, blue,
or purple, as well as an unlimited supply of 1 cm long black beads. If the wire is n
cm long, how many different sequences of beads are possible?
Differential Equations
limits as x approaches -infinity (e^(2x)+e^x)/(ae^(2x)-e^x)
Differential Equations
Determine the value of tan〖45°-tan〖30°〗 〗/(1-tan〖45° .tan〖30°〗 〗 ) .
Differential Equations
Form the difference equation generated by yx = a2x + b3x + c
Differential Equations
y^2dx=(x^3-xy)dy
Differential Equations
Form the difference equation generated by yx = a2x + b3x + c
