Answer to Question #349478 in Differential Equations for Ankit

Question #349478

27y-8(dy/DX)³=0

1
Expert's answer
2022-06-10T05:31:50-0400
"27y-8(dy\/dx)^3=0"

"dy\/dx=\\sqrt[3]{27y\/8}=3\\sqrt[3]{y}\/2"

"\\frac{dy}{\\sqrt[3]{y}}=\\frac{3}{2}dx"

"\\frac{3}{2}y^{2\/3}=\\frac{3}{2}(x+C)"

"y=(x+C)^{3\/2}"


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