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Tagged with partial-fractions derivatives
21
questions
0
votes
1
answer
204
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Partial Fraction Expansion and Laplace Transform
I have some problem with my equation:
$$y''+5y = 5e^{-5t} $$
And we got that y(0) = 1 and y'(0) = 2
It's too much to write but what I get is:
$$ \frac{e^{-5t}}{6}+1.516676089\cdot \cos(0.989 - \sqrt{...
0
votes
2
answers
55
views
Unsustainable Populations Differential Equations
I need some help solving this differential equation: $\frac{\text{d}P}{\text{d}t}=kP\left(\frac{A-P}{A}\right)\left(\frac{P-m}{P}\right)$, where $P$ is the population, $t$ is time in years, $A$ is the ...
- 68
2
votes
3
answers
73
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Calculating the $n^\text{th}$ derivative
How do we calculate the $n^{\text{th}}$ derivative for
$$
\frac{x^3}{(x-a)(x-b)(x-c)}?
$$
How can I obtain the partial fraction for the given term?
- 101
1
vote
0
answers
57
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Determine lambda from a non-constant differentiable function of one variable
Suppose f is a non-constant differentiable function of one variable.
Determine, with reasons, the value of $\lambda$ for which
F(x, y) = f($\lambda x^{3}$ + y) satisfies the partial differential ...
- 177
1
vote
4
answers
11k
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How to find nth derivative of $1/(1+x+x^2+x^3)$
I was trying to solve a differentiation question but unable to understand .
My question is :
find the $n^{th}$ derivative of $1/(1+x+x^2+x^3)$
I know that if we divide the numerator by denominator ...
- 6,479
1
vote
2
answers
865
views
Partial fraction when $N^r$ and $D^r$ are quadratic and cubic polynomials
I need to find the nth derivative of the following function
$$y=\frac {x^2+4x+1}{x^3+2x^2-x-2}$$
The trouble is I don't know how to break a fraction like the above one. How do I break it into partial ...
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