(a) Solve $\left(D^{2}+2 D+1\right) y=\cos 2 x+x^{3}$
Explanation
The given equation is a linear differential equation of second order with constant coefficients. We have assumed $y=e^{m x}$ and substituted in the given equation to get a quadratic equation in $m$. We have solved this equation to get the complementary function and particular integral. The general solution is obtained by adding the complementary function and particular integral.
⬆ Related Topic
📘 Syllabus
View KERALA UNIVERSITY Class 1 Syllabus →
📝 Practice Questions
Practice Previous Year Questions →
🤖 Practice with AI
Generate Practice Question Paper →
📚 Related Concepts
- (a) Explain the principle and working of (i) Zener diode (ii) LED
- (a) (i) Compare sequential and combinational logic circuits. (ii) With the help of truth table, explain JK flip flop
- (a) With neat circuit diagram and wave forms, Explain the working of a full wave rectifier.
- (a) Draw the block diagram of function generator and explain its working.
- (a) Draw the block diagram of super heterodyne receiver and explain its working.