What is the solution for (dy)/(dx)=e^{y-x^2+1} ?

The solution for (dy)/(dx)=e^{y-x^2+1} is y=-ln(-(esqrt(pi)\erf(x))/2-c_{1})

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(dy)/(dx)=e^{y-x^2+1}

\frac{d y}{d x} = e^{y - x^{2} + 1}

y = - ln (- \frac{e π erf ( x )}{2} - c_{1})

Solution steps

\frac{d y}{d x} = e^{y - x^{2} + 1}

Solve separable ODE:

y = - ln (- \frac{e π erf ( x )}{2} - c_{1})

y = - ln (- \frac{e π erf ( x )}{2} - c_{1})

\int 169 - t^{2} d t

x \frac{d y}{d x} + y = 6 x + 1

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n = 1 \sum \infty \frac{1}{4 n + 2}

What is the solution for (dy)/(dx)=e^{y-x^2+1} ?
The solution for (dy)/(dx)=e^{y-x^2+1} is y=-ln(-(esqrt(pi)\erf(x))/2-c_{1})