Solve y=1+c/e^x^2

$$y = 1 + \frac { c } { e ^ { x ^ { 2 } } }$$

Solve for c

$$c=-\left(1-y\right)e^{x^{2}}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$1+\frac{c}{e^{x^{2}}}=y$$

Subtract 1 from both sides.

$$\frac{c}{e^{x^{2}}}=y-1$$

The equation is in standard form.

$$\frac{1}{e^{x^{2}}}c=y-1$$

Divide both sides by e^{-x^{2}}.

$$\frac{\frac{1}{e^{x^{2}}}ce^{x^{2}}}{1}=\frac{\left(y-1\right)e^{x^{2}}}{1}$$

Dividing by e^{-x^{2}} undoes the multiplication by e^{-x^{2}}.

$$c=\frac{\left(y-1\right)e^{x^{2}}}{1}$$

Divide y-1 by e^{-x^{2}}.

$$c=\left(y-1\right)e^{x^{2}}$$