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Popular >

(dP)/(dt)=P+a

Solution

\frac{d P}{d t} = P + a

Solution

P = e^{t + c_{1}} - a

Solution steps

\frac{d P}{d t} = P + a

Solve separable ODE:

P = e^{t + c_{1}} - a

P = e^{t + c_{1}} - a

Graph

Popular Examples

area 5-4x, 1/x area

5 - 4 x, \frac{1}{x}

derivative of (3x-8)/(7x+4)derivative of

\frac{3 x - 8}{7 x + 4}

y^'-4/x y=(y^3)/(x^5),y(1)=1

y^{^{'}} - \frac{4}{x} y = \frac{y ^{3}}{x ^{5}}, y (1) = 1

slope of (1.1)(2.5)slope

(1.1) (2.5)

sum from n=1 to infinity of (3e^n)/(n^5)

n = 1 \sum \infty \frac{3 e ^{n}}{n ^{5}}

Frequently Asked Questions (FAQ)

What is the solution for (dP)/(dt)=P+a ?
The solution for (dP)/(dt)=P+a is P=e^{t+c_{1}}-a