Solve -1/u=x*e^x-e^x c

Evaluate

- \frac{1}{u} = x e^{x} - e^{x} c

Rewrite the expression

- \frac{1}{u} = e^{x} x - e^{x} c

Swap the sides of the equation

e^{x} x - e^{x} c = - \frac{1}{u}

Move the expression to the right-hand side and change its sign

- e^{x} c = - \frac{1}{u} - e^{x} x

Subtract the terms

More Steps

- e^{x} c = - \frac{1 + e ^{x} xu}{u}

Multiply by the reciprocal

- e^{x} c (- \frac{1}{e ^{x}}) = - \frac{1 + e ^{x} xu}{u} \times (- \frac{1}{e ^{x}})

Multiply

c = - \frac{1 + e ^{x} xu}{u} \times (- \frac{1}{e ^{x}})

Solution

More Steps

c = \frac{1 + e ^{x} xu}{e ^{x} u}

Solve the equation