Q10. (10 marks) Find the general solution of the following differential equation:
differential lesson
Question 2: (40 marks) Find the general solution of the differential equation y" - 3y' – 4y = Sin(t) by using the method of undetermined coefficients.
2. Find the general solution for the following differential equation
Find the general solution of the following differential
equation: (1) ?′′ + 5?′ + 6? = 2????*?^? (2) ?′′ + 2?′ + ? = ? +
?e^(-t).
(please solve Question No.7 only)
7. (30 points) Find the general solution of the following differential equation: (1) y" + 5y' + 6y = 2etsint (2) y" + 2y + y=t+te-t 8. (10 points) Use the method of variation of parameters to find a particular solution of y" + y = 1/sin (t),...
(c) (i) Find the general solution of the following partial differential equation y, = 2y sin x + e-x Whatische solution when the initial conditions are v(0,y)--y, and (ii) y(x, 0) = cos x ? (10 Marks)
o2: 16 Marks] Find the general solution of the differential equation (sin x)y" +(cos x)y' cos x by reduction to first order DE.
o2: 16 Marks] Find the general solution of the differential equation (sin x)y" +(cos x)y' cos x by reduction to first order DE.
Find the general solution to the differential equation: y3 y ' =
t
Find the general solution to the differential equation: y3 y'=t
Find the general solution of the dierential equation
3. Find the general solution of the differential equation y" + 4y = 2 +e2x cos 2x
2017, Q3.
QUESTION 3 Determine whether the differential equation homogeneous and find its general solution. (150 marks total) y" +3 +2У = 5 sinx is homogeneous or non-
QUESTION 3 Determine whether the differential equation homogeneous and find its general solution. (150 marks total) y" +3 +2У = 5 sinx is homogeneous or non-
Question 8 10 pts Find the general solution to the following differential equation. 4x’ y + x4y = sinº x HTML Editore A E 1 U A BI Ix VX 1 V 1 1 * x T 12pt
1.12 Exercises 1. Find the general solution of the differential equation / (a) x" = 10 sin 2t / (b) x" = 1-t (e)ta' = 1.