 # Differential Equations and Linear Algebra Q&A

Recent questions in Differential equations Eliza Shields 2023-03-24

## The solution of a differential equation y′′+3y′+2y=0 is of the formA) ${c}_{1}{e}^{x}+{c}_{2}{e}^{2x}$B) ${c}_{1}{e}^{-x}+{c}_{2}{e}^{3x}$C) ${c}_{1}{e}^{-x}+{c}_{2}{e}^{-2x}$D) ${c}_{1}{e}^{-2x}+{c}_{2}{2}^{-x}$ Zachariah Ferrell 2023-03-24

## How to differentiate $y=\mathrm{log}{x}^{2}$? Kara Cummings 2023-03-21

## The differential coefficient of $\mathrm{sec}\left({\mathrm{tan}}^{-1}\left(x\right)\right)$. Jadiel Bowers 2023-02-25

## Let $f$ be a twice differentiable function such that $g\text{'}\left(x\right)=-f\left(x\right)$ and $f\text{'}\left(x\right)=g\left(x\right)$, $h\left(x\right)={\left(f\left(x\right)\right)}^{2}+{\left(g\left(x\right)\right)}^{2}$. If $h\left(5\right)=11$, then $h\left(10\right)$ is equal to A. $22$ B. $11$ C. $0$ D. $20$ sosterrm0m 2023-02-25

## What is the differentiation of $uv$? rehaucesnwr1 2023-02-23

## Let f be a differentiable function such that ${f}^{\prime }\left(x\right)=7-\frac{3}{4}\ast \frac{f\left(x\right)}{x},\left(x>0\right)$ and $f\left(1\right)\ne 4$. Then $\underset{x\to {0}^{+}}{lim}x\ast f\left(\frac{1}{x}\right):$ A)does not exist. B)exists and equals 4. C)exists and equals 4/7. D)exists and equals 0. Kamenemoj3q 2023-02-18

## What are the absolute extrema of $f\left(x\right)={x}^{3}-3x+1\in \left[0,3\right]$? Damaris Bradshaw 2023-02-13

## $x{y}^{2}\cdot \left(\frac{dy}{dx}\right)={y}^{3}-{x}^{3},y\left(1\right)=2$ (its a initial value problem) Any kind soul here who can give the solution of this eqn? ulovljenolq3 2023-02-07

## The graph of the linear equation 2x + 3y = 6 meets the y - axis at the point: (a) (2, 0); (b) (3, 0); (c) (0, 2); (d) (0, 3) Deacon Hensley 2023-01-20

## Differentiate $x{e}^{x}$ using first principle. Talan Mercer 2023-01-08

## Write the first four terms of the A.P. when the first term a and the common difference d are given as follows: (iii) a=4, d=-3. Lizeth Herring 2022-12-27

## Let f be a differentiable function on R satisfying $f\prime \left(t\right)={e}^{t}\left({\mathrm{cos}}^{2}t-sin2t\right)$ and f(0)=1, then which of the following is/are correct ?A) f is bounded in $t\in \left(-\mathrm{\infty },0\right)$B) number of solutions satisfying the equation $f\left(t\right)={e}^{t}$ in [0,2π] is 3C) $\underset{t\to 0}{lim}f\left(t\right){\right)}^{1/t}=1$D) f is an even function sublimnoj7u7 2022-12-26

## Derivative of $f\left(x\right)=4{e}^{x}-{4}^{x}+2\mathrm{ln}x$ is A) $4{e}^{x}-{4}^{x}\mathrm{ln}4+\frac{2}{x}$ B) $4{e}^{x}+{4}^{x}\mathrm{ln}4+\frac{2}{x}$C) $4{e}^{x}-{4}^{x}\mathrm{ln}4-\frac{2}{x}$D) $4{e}^{x}-{4}^{x}\mathrm{ln}4+2x$ Alaina Durham 2022-12-21

## If $y={x}^{\mathrm{sinx}},$ then $\frac{\mathrm{dy}}{\mathrm{dx}}=?$A) $\frac{{x}^{\mathrm{sin}x}\left(x\mathrm{cos}x\mathrm{log}x+\mathrm{sin}x\right)}{x}$B$\frac{{x}^{\mathrm{sinx}}\left(\mathrm{xcosxlogx}+\mathrm{cos}x\right)}{x}$C) $\frac{y\left(\mathrm{xcosxlogx}+\mathrm{cosx}\right)}{x}$D) None of these Kason Wong 2022-12-21

## What is the Solution of the Differential Equation $\frac{dP}{dt}=kP-A{P}^{2}$? Emilia Carpenter 2022-12-05

## Name two warning signs of suspect health products/services being offered on the Internet alistianyStu 2022-12-02

## Prove that the equation ${4}^{x}=8x+1$ has only one solution Julius Ho 2022-12-02

## Consider the differential equation $\frac{dy}{dt}=ay-b$.Find the equilibrium solution ${y}_{e}$ e3r2a1cakCh7 2022-12-01 Brenda Leach 2022-11-29