Ответ:
1) ; 2) - общее,
Пошаговое объяснение:
1.
2.
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Verified answer
Ответ:
1)
; 2) 
- общее, 
Пошаговое объяснение:
1.![\dfrac{dy}{dx} =\dfrac{y}{4x} \\\\\dfrac{dy}{y} =\dfrac{dx}{4x} \\\\\int{\dfrac{dy}{y}} =\int{\dfrac{dx}{4x} }\\\\lny=0,25lnx+0,25C_1\\\\e^{lny}=e^{0,25lnx+0,25lnC_1}\\\\y = (C_1x)^{0,25}=C\sqrt[4]{x}](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%5Cdfrac%7By%7D%7B4x%7D%20%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7By%7D%20%3D%5Cdfrac%7Bdx%7D%7B4x%7D%20%5C%5C%5C%5C%5Cint%7B%5Cdfrac%7Bdy%7D%7By%7D%7D%20%3D%5Cint%7B%5Cdfrac%7Bdx%7D%7B4x%7D%20%7D%5C%5C%5C%5Clny%3D0%2C25lnx%2B0%2C25C_1%5C%5C%5C%5Ce%5E%7Blny%7D%3De%5E%7B0%2C25lnx%2B0%2C25lnC_1%7D%5C%5C%5C%5Cy%20%3D%20%28C_1x%29%5E%7B0%2C25%7D%3DC%5Csqrt%5B4%5D%7Bx%7D "\dfrac{dy}{dx} =\dfrac{y}{4x} \\\\\dfrac{dy}{y} =\dfrac{dx}{4x} \\\\\int{\dfrac{dy}{y}} =\int{\dfrac{dx}{4x} }\\\\lny=0,25lnx+0,25C_1\\\\e^{lny}=e^{0,25lnx+0,25lnC_1}\\\\y = (C_1x)^{0,25}=C\sqrt[4]{x}")
2.