PG entrance exam CUET PG 2025 Mock Test Engineering Mathematics Differential Equations

मान लीजिए f(x), f(0) = 2, f'(0) = 3 और f''(x) = f(x) को संतुष्ट करने वाला एक बहुपद है, तो f(4) किसके बराबर है?

1
\(5 \frac {(e^8 - 1)}{2e^4}\)
2
\(\frac {(5e^8 - 1)}{2e^4}\)
3
\(\frac {2e^4}{5e^8 - 1}\)
4
\(\frac {2e^4}{5(e^8 + 1)}\)
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