y" + 2y/ + 3zy = 0, y(0) = 4, / (0) = -9. The first 5 Taylor polynomial approximations of the solution are plotted below. You will compute the terms in these approximations. 1 term 2 terms 3 terms 12 4 terms 5 terms 10 0.0 Rewrite the differential equation in the form y/" = something, and enter that something in the top slot of the left column. Use y' for y'. Then by repeatedly differentiating that expression, obtain formulas for the derivatives y/3), ... , yl4), in terms of y and y/ and enter these in the left column below. Use these formulas to evaluate y (0), / (0), y" (0), ... , y/9 (0) for the solution of the IVP given above, and enter these numbers in the middle column. In the rightmost column, enter the corresponding terms of the Taylor series of the solution of the IVP. %3D

Use the method of undetermined coefficients to determine the form of a particular solution to the given equation.  y'''+10y''-11y=(x*e^x)+6

The tank contains 3 kg of dissolved saltbe up to 75 liters of water. Saline solution of strength0.4 kg of salt / L is pumped into the tank at speed6 L / min.• Solution is drained from the tank at the same speed.• Set up a differential equation that describes this system.Let's solve the differential equation and get a function thatdescribes the salt content of the tank at time t.

F'= -12F + 3FH   H'= 15H - 5FH