Mathamatice (Subsidiary/General)

Answer any one Assignment of the following about 2500-3000 words:

Question - 01

- State and Prove Leibnitzs theorem........Answer

- If y^1/m+y^1/m=2x , Prove that (x²-1) y_n+2+(2n +1) xy_n+1- (n²- m²)y_n = 0......Answer (YouTube Video)

- Discuss various methods for solving first order and first degree differential equations.....Answer

- Solve, the equation, dy/dx + ytanx = y³secx.....Answer

- Explain Principle of Virtual work......Answer

- State the convergence of the series ∑ 4.7 ...(3n+1)/1.2 ...n . Find .....Answer

- Find the common area to the circles x² + y² = 4 and x² + y² = 4x......Answer

- State and Prove Keplar's law of planetary motion.....Answer

- Define differentiation of vector point function and show that if r = acoswt +dr bsinwt then r x dr/dt =wa x b and drt/dt =-w°r, where a, b and w are contant......Answer

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Mathamatice (Subsidiary/General) - Answer