Solve the following ODES by Undetermined Coeff. X 2 2X -4X -X 2X "y "Y +5ý + 4y = x² ²² Ans : y=c₁e + C₂e + e $8 11 18 -X
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- The solution of the following problems requires more than one formula and the rearrangement of formulas. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. N=12C3.1416D or 12CD for customary units and N=1000C3.1416D or 1000CD for metric units. T=LFN A carbide milling cutter is used for machining a 560.00-millimeter length of stainless steel. The cutting time is 11.95 minutes, the cutting speed is 60.000 meters per minute, and the feed is0.250 millimeter per revolution. What is the diameter of the carbide milling cutter? Round the answer to 1 decimal place.The solution of the following problems requires more than one formula and the rearrangement of formulas. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. N=12C3.1416D or 12CD for customary units and N=1000C3.1416D or 1000CD for metric units. T=LFN A combination drilling and countersinking operation on bronze round stock is performed on an automatic screw machine. The length of cut per piece is 134 inches.The total cutting time for 2300 pieces is 612 hours running at 1600 rpm. What is the tool feed in inches per revolution? Round the answer to 3 decimal places.The solution of the following problems requires more than one formula and the rearrangement of formulas. Use C=3.1416DN12 or DN12 for customary units and C=3.1416DN1000 or DN1000 for metric units. N=12C3.1416D or 12CD for customary units and N=1000C3.1416D or 1000CD for metric units. T=LFN Aluminum baseplates are produced that are 158 inches thick. Six 14 inch-diameterholes are drilled in each plate using a feed of 0.004 inch per revolution and a cutting speed of 300 feet per minute. Setup and handling time is estimated at 0.5 minute per piece. What is the total number of hours required to produce 850 aluminum baseplates? Round the answer to 1 decimal place.
- Consider the following PDE: e-y d2u/dx2 + e-x d2u/dy2 =0 Separate variables with u(x,y) = f(x)g(y) to derive a pair of ODEs, one for f and one for y. Do not attempt to solve the resulting ODEs.Find the particular solution of the ODE in this form: y" + 7 y = 6 e^x, with initial conditions y(0) = 7.8 and y' (0) = 6.7. What is the value of y at x = 5?Find y''of 4cos(x/2)+e^-2x
- Find a general solution for the following second order non homogeneous ODEs. y''-4y'+4y=2e2x+4x-12complexify the ODE below in irder to find its particular solution y''-2y'-15y=e^(3t) cos(2t).Solve the ODE xdx + ydy = xdy - ydx a. ln [(y+x) / x] = C b. ln [(x-y) / x] = C c. arctan (y/x) - 0.5 ln [(y^2 + x^2) / x] = C d. arctan (y/x) - 0.5 ln [(y^2 + x^2) / x^2] - lnx = C e. none
