dy_ 3x+2y dx 3x+2 у+2 X-1) = -1

Solve the given initial-value problem. X- xp +у %3 6х + 1, У(1) %3D 6 y(x) = Give the largest interval I over which the solution is defined. (Enter your answer using interval notation.) I =

Solve the nonlinear equations shown below using Newton-Raphson method with three decimal points for single iteration. Assume the initial values of x as 5, xa as 5 and X) as 0. x,+ x2- 45 = 0 X + x - 15 = 0 XI+ Xạ+ X-5 =0

Example: A tank initially contains 800 gallons of fresh water. Water containing 1/2 lb/gal of salt flows into the tank with the rate 6 gal/min and the well stirred mixture flows out at the rate of 2 gal/min. Write the initial value problem for Q(t), the amount of salt in pounds in the tank.