Find the solution of the differential equation that satisfies the given initial condition.

Step-by-step explanation:

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Find the solution of the differential equation that satisfies the given initial condition. dy/dx = x/y, y(0) = -2

Using the variable separable method.

Step 1: Separate the variables

dy/dx = x/y

x dx = y dy

Step 2: Integrate both sides of the resulting equation

Note that the constant of integration added to the side containing x

Step 3: Apply the initial condition y(0) = -2

This means when x = 0, y = -2. From step 2:

Step 4: Substitute K = 4 into the resulting differential equation above

This gives the solution to the differential equation.

it’s supposed to be -4+45=41

step-by-step explanation: