The solution of the differential equation dy/dx = yx is Option 1: sqrt(x) + sqrt(y) = C; C is an arbitrary constant Option 2: sqrt(x) - sqrt(y) = C; C is an arbitrary constant Option 3: sqrt(y/x) + C = 0; C is arbitrary constant Option 4: sqrt(x/y) + C = 0; C is an arbitrary constant

The answer is 'sqrt(x) - sqrt(y) = C; C is an arbitrary constant'. View full solution:

The solution of the differential equation dy/dx = yx is

sqrt(y/x) + C = 0; C is arbitrary constant

sqrt(x/y) + C = 0; C is an arbitrary constant

Calculus > Differential Equations

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$\sqrt{x} + \sqrt{y} = C$ ; C is an arbitrary constant

$\sqrt{x} - \sqrt{y} = C$ ; C is an arbitrary constant

$\sqrt{\frac{y}{x}} + C = 0$ ; C is arbitrary constant

$\sqrt{\frac{x}{y}} + C = 0$ ; C is an arbitrary constant

✅ Correct Option: 2

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