1.

For the equation \(\frac{{dy}}{{dx}} + 7{x^2}y = 0\), if y(0) = \(\frac{{3}}{{7}}\), then the value of y(1) is

A. \(\frac{7}{3}{e^{ - \frac{7}{3}}}\)
B. \(\frac{7}{3}{e^{ - \frac{3}{7}}}\)
C. \(\frac{3}{7}{e^{ - \frac{7}{3}}}\)
D. \(\frac{3}{7}{e^{ - \frac{3}{7}}}\)
Answer» D. \(\frac{3}{7}{e^{ - \frac{3}{7}}}\)


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