Question

Решите пожалуйста
y```=e^7x

Answer 1

$y'' = int y'''dx = frac{1}{7}e^{7x} + 2C_1\\ y' = int y''dx = frac{1}{49}e^{7x} + 2C_1x+ C_2\\ y = int y'dx = frac{1}{343}e^{7x} + C_1x^2+ C_2x+C_3$