Find the function y = y ( x ) y = y ( x ) (for x > 0 x > 0 ) which satisfies the separable differential equation d y d x = 2 + 15 x x y 2 ; x > 0 d y d x = 2 + 15 x/x y^ 2 ; x > 0 with the initial condition y ( 1 ) = 3 y ( 1 ) = 3

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

2/3

step-by-step explanation: