Standard +0.8 This is a standard second-order linear non-homogeneous differential equation from Further Maths FP2. While it requires multiple steps (finding complementary function via auxiliary equation, then particular integral using undetermined coefficients with trigonometric terms), it's a textbook application of well-defined methods with no novel insight required. The trigonometric RHS adds modest algebraic complexity but follows standard procedures, making it moderately above average difficulty for A-level but routine for Further Maths students.
4. Find the general solution of the differential equation
$$\frac { \mathrm { d } ^ { 2 } x } { \mathrm {~d} t ^ { 2 } } + 5 \frac { \mathrm {~d} x } { \mathrm {~d} t } + 6 x = 2 \cos t - \sin t$$
I'm unable to process this request as the extracted mark scheme content appears incomplete or corrupted. The content shown is:
```
Question 4:
Answer
Marks
4
y
```
This doesn't contain sufficient marking scheme information to clean up. Could you please provide the complete mark scheme content for Question 4?
I'm unable to process this request as the extracted mark scheme content appears incomplete or corrupted. The content shown is:
```
Question 4:
4 | y
```
This doesn't contain sufficient marking scheme information to clean up. Could you please provide the complete mark scheme content for Question 4?