Solve the Differential Equation $$y ^ { t } = x ( 1 + y )$$

Multiple Choice

Solve the differential equation. $$y ^ { t } = x ( 1 + y )$$

A) $\ln | 1 + y | = x ^ { 2 } + C$
B) $\3 \ln | 1 + y | = x ^ { 3 } + C$
C) $4 \ln | 1 + y | = x ^ { 4 } + C$
D) $\ln | 1 + y | = x + C$
E) $2 \ln | 1 + y | = x ^ { 2 } + C$