Step 1: Definition of Nuclear Fission and Fusion Nuclear Fission: The splitting of a heavy nucleus into two lighter nuclei with the release of energy. \[ ^{235}U + n \rightarrow ^{141}Ba + ^{92}Kr + 3n + \text{energy} \]
Nuclear Fusion: The combining of two light nuclei to form a heavier nucleus with the release of energy. \[ ^{2}H + ^{3}H \rightarrow ^{4}He + n + \text{energy} \]
Step 2: Why Energy is Released? Energy is released in both processes due to the mass defect, which is converted into energy according to Einstein's equation: \[ E = mc^2 \]
Step 3: Key Differences
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $