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Popular >

(dy)/(dx)-y=1

Solution

\frac{d y}{d x} - y = 1

Solution

y = e^{x + c_{1}} - 1

Solution steps

\frac{d y}{d x} - y = 1

Solve separable ODE:

y = e^{x + c_{1}} - 1

y = e^{x + c_{1}} - 1

Popular Examples

integral of sec(x/7)

\int sec (\frac{x}{7}) d x

integral from 5 to 6 of 1/((x-5)^{3/2)}

\int_{5}^{6} \frac{1}{( x - 5 ) ^{\frac{3}{2}}} d x

limit as x approaches 0 of (1-tan(kx))/x

x \to 0 lim (\frac{1 - tan ( k x )}{x})

sum from n=1 to infinity of (x^n)/(n^2)

n = 1 \sum \infty \frac{x ^{n}}{n ^{2}}

integral of xln(x^2+3)

\int x ln (x^{2} + 3) d x

Frequently Asked Questions (FAQ)

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