find the complete integral and singular integral of 4(1+x3)=9z4pq.
two cars each moving at constant speed on a straight road pass a certain point onΒ the road at the same time if car A is moving at 23 m/s and car B is moving at 14 m/s how far apart will they be after five minutes if theyΒ contains at the same speed?
1.Solve the differential equation (2π·2 + 5π· + 2)π¦ = π-1/ 2 x
2. Solve the differential equation (π·3 β 3π·2 + 4π· β 2)π¦ = πππ π.
The differential equation \((x+y-3z)\frac{\partial z}{\partial x}+(3x+4y) \frac{\partial z}{\partial y}+2z=x+y\) is
according to newton's law of cooling the rate at which a substance cools in moving air is proportional to the difference between the temperature of the substance and that of the year if the temperature of the year is 298 k a and the substance cools from 478 k to 428 k in 20 minutes. find when the temperature will be 405 k
Solve the following system of equations by using the concept of matrices and determinants. ππ + ππ + π = π ππ + ππ + π = π (b) Find whether the following series are convergent or divergent β π π + β π π + β π π + β―
A 2 lbs of weight is attached to a lower end of the suspended spring in a medium with negligible resisting force. The spring has a spring constant of 18 lb/ft. The weight comes to rest in its equilibrium position. At t = 0 an external force of f(t) = 6 tan(3t) is applied to the system. Determine the resulting motion of the system.
A system vibrates according to the equation x ''(t)+9x(t)=6sin3t , where x is the displacement and t is the time. Determine a general solution for x(t) by using the method of undetermined coefficients .
3dΒ²y/dxΒ²+dy/dx-14y=0y(0)=1y(0)=-1
Find the constants c0, c1, and x1 so that the quadrature formulae given by
Roots xi
0.8611363116
0.339981436
-0.339981436
-0.8611363116
Coefficients, ci
0.3478548451
0.6521451549
0.6521451549
0.3478548451
Then use it to find an answer for the following integral
Z1^(1.6) 2x/(xΒ²-4) dx