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Popular >

y^'=1-100(y-t)

Solution

y^{^{'}} = 1 - 100 (y - t)

Solution

y = t + \frac{c _{1}}{e ^{100 t}}

Solution steps

y^{'} (t) = 1 - 100 (y - t)

Solve linear ODE:

y = t + \frac{c _{1}}{e ^{100 t}}

y = t + \frac{c _{1}}{e ^{100 t}}

Popular Examples

integral from 0 to infinity of 1/(x^2)

\int_{0}^{\infty} \frac{1}{x ^{2}} d x

integral of (2x+1)/((x^2+6x+10)(x+1))

\int \frac{2 x + 1}{( x ^{2} + 6 x + 10 ) ( x + 1 )} d x

limit as x approaches-6 of (x^2-8)/(6-x)

x \to - 6 lim (\frac{x ^{2} - 8}{6 - x})

integral from-2 to 2 of (-x^2+4)^2

\int_{- 2}^{2} (- x^{2} + 4)^{2} d x

limit as x approaches 0 of xcos(x)

x \to 0 lim (x cos (x))

Frequently Asked Questions (FAQ)

What is the solution for y^'=1-100(y-t) ?
The solution for y^'=1-100(y-t) is y=t+(c_{1})/(e^{100t)}