dy / dx = 8x / y

y dy = 8x dx

∫y dy = 8 ∫x dx

y^{2}/2 = 8x^{2}/2 + C_{1}

y^{2 }= 8x^{2} + 2C_{1}

2C_{1}= C

Therefore:

** y**^{2 }**= 8x**^{2}** + C**

**Yes, it is D**. I also tried y / 8x but the answer is not among the choices.

Sreeram K.

asked • 04/15/21options -

a) y^{2} = x^{2} + C

b)x^{2} - y^{2} = C

c)y^{2} = 4x^{2} + C

d)y^{2} = 8x^{2} + C

I think its D

More

dy / dx = 8x / y

y dy = 8x dx

∫y dy = 8 ∫x dx

y^{2}/2 = 8x^{2}/2 + C_{1}

y^{2 }= 8x^{2} + 2C_{1}

2C_{1}= C

Therefore:

** y**^{2 }**= 8x**^{2}** + C**

**Yes, it is D**. I also tried y / 8x but the answer is not among the choices.

Patrick B. answered • 04/15/21

Tutor

4.7
(31)
Math and computer tutor/teacher

I agree

dy/dx = 8x/y

y dy = 8x dx

(1/2)y^2 = 4x^2 + c

y^2 = 8x^2 + 2c

Sreeram K.

thanks
Report

04/16/21

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Sreeram K.

thanks04/16/21