Laplace transform first derivative help

[Engineersmurf]

Hi guys I'm struggling with this equation

i think I'm going wrong somewhere I don't know where can anyone be of assistance

cheers Engineersmurf

 

[Engineersmurf]

Using Laplace to solve first order differentia; equation

Hi Guys

could anyone give me some advice on a problem. need to solve a first order non homo differential equation using laplace but ive not done one like it before.

just struggling with the partial fraction bit. not sure wether to split up into a+b or a+b+c

cheers

 

[Deleted member 4993]

Hi guys I'm struggling with this equation

i think I'm going wrong somewhere I don't know where can anyone be of assistance

cheers Engineersmurf

View attachment 3819View attachment 3820

\(\displaystyle \dfrac{5}{(s^2+25)(6s-7)} = \dfrac{As+B}{s^2+25} + \dfrac{C}{6s-7}\)

Now solve for A, B & C

 

[stapel]

just struggling with the partial fraction bit. not sure wether to split up into a+b or a+b+c

I can't read the sideways pictures, but you can refresh on partial fractions here.

 

[Engineersmurf]

\(\displaystyle \dfrac{5}{(s^2+25)(6s-7)} = \dfrac{As+B}{s^2+25} + \dfrac{C}{6s-7}\)

Now solve for A, B & C

Thanks so much