$y = C e ^ { 4 x ^ { 2 } }$ is the solution of the differential equation $y ^ { \prime } = 8 x y$. Find the solution that satisfies the initial condition $y ( 1 ) = 1$.

Question

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The Answer of $y = C e ^ { 4 x ^ { 2 } }$ is the solution of the differential equation $y ^ { \prime } = 8 x y$. Find the solution that satisfies the initial condition $y ( 1 ) = 1$.

y=Ce4x2y = C e ^ { 4 x ^ { 2 } }y=Ce4x2

$y = C e ^ { 4 x ^ { 2 } }$