Why is C = 3 wrong for dy/dx = 88yx^10 with y-intercept 4?

[beanryu]

Find an equation of the curve that satisfies

dy/dx = 88yx^(10)
and whose y intercept is 4

dy/y = 88x^(10)dx

integral both sides

ln(y) = 8x^(11)
y = e^(8x^(11))+C

put x = 0 into the equation
I got C = 3.

Why am I wrong?

 

[AKG]

Because you're supposed to add the constant of integration C right after you integrate, and THEN exponentiate both sides.

 

[beanryu]

THanx dude!