# Differential equations

• November 12th 2012, 02:17 PM
GardsVision
Differential equations
I would really appreciate it if someone could help me with how to solve these two differential equations.

1. ((dK)/(dt))=λ(P-K), given K(0)=0,2P

2. (1/K)((dK)/(dt))=λ(P-K), given K(0)=0,2P
• November 12th 2012, 02:49 PM
HallsofIvy
Re: Differential equations
Quote:

Originally Posted by GardsVision
I would really appreciate it if someone could help me with how to solve these two differential equations.

1. ((dK)/(dt))=λ(P-K), given K(0)=0,2P

$\frac{dK}{P- K}= \lambda dt$. Integrate.

Quote:

2. (1/K)((dK)/(dt))=λ(P-K), given K(0)=0,2P
$\frac{dK}{K(P- K)}= \lambda dt$. Integrate. Use "partial fractions" on the left.

I don't know what you mean by the ",2P".