If a function y=f(x) is such that f′(x) is continuous function and s – InterviewSolution

1.	If a function y=f(x) is such that f′(x) is continuous function and satisfies (f(x))2=K+∫x0((f(t))2+(f′(t))2) dt, K ϵ R+, then
Answer» If a function $y = f (x)$ is such that $f^{'} (x)$ is continuous function and satisfies $(f (x))^{2} = K + \int_{0}^{x} ((f (t))^{2} + (f^{'} (t))^{2}) d t, K ϵ R^{+}$ , then

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