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POST SECONDARY
CALCULUS AND ANALYSIS
DIFFERENTIAL EQUATIONS
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Algebra
Statistics and Probability
Calculus and Analysis
Integral Calculus
Multivariable calculus
Differential Calculus
Analysis
Differential equations
First order differential equations
Laplace transform
Second order linear equations
Advanced Math
Differential equations
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Recent Differential equations Answers
Laplace transform
asked 2021-03-18
Determine
\(L^{-1}\left[\frac{(s-4)e^{-3s}}{s^2-4s+5}\right]\)
Laplace transform
asked 2021-03-18
Obtain the Laplace Transform of
\(L\left\{e^{-2x}+4e^{-3x}\right\}\)
Laplace transform
asked 2021-03-11
\(\displaystyle{y}'={6}\frac{{x}^{{2}}}{{{2}{y}+{\cos{{y}}}}}{)}\)
Second order linear equations
asked 2021-03-11
Solve the linear equations by considering y as a function of x, that is, y = y(x).
\(y'+2y=4\)
Laplace transform
asked 2021-03-11
Find the Laplace transforms of the given functions.
\(f{{\left({t}\right)}}={6}{e}^{{-{5}{t}}}+{e}^{{{3}{t}}}+{5}{t}^{{{3}}}-{9}\)
Laplace transform
asked 2021-03-09
\(L^{-1}\bigg(\frac{5}{s^{2}(s^{2}-4s+5)}\bigg)=5\int_{0}^{\infty}(t-T)e^{2T}\sin 2T\ dT\)
Select one: True or False
Laplace transform
asked 2021-03-09
Solve the following IVP using Laplace Transform
\(y′′+3y′+2y=e^(-t), y(0)=0 y′(0)=0\)
Laplace transform
asked 2021-03-09
How to solve for third order differential equation of
\(y"'-7y'+6y =2 \sin (t)\)
using Method of Laplace Transform when
\(y(0)=0, y'(0)=0, y"(0)=0\)
?
Step by step
First order differential equations
asked 2021-03-09
Solve differential equation
\(y '(t) = -3y + 9\)
, y(0) = 4
First order differential equations
asked 2021-03-09
Solve differential equation
\(dy/dx+(a/x)y=40x\)
, for x>0 and y(1)=a
First order differential equations
asked 2021-03-08
Solve differential equation
\(\displaystyle{y}'+{y}={x},\ {y}{\left({0}\right)}={1}\)
First order differential equations
asked 2021-03-08
Solve differential equation
\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={\frac{{{x}}}{{{y}}}},\ {y}{\left({0}\right)}=-{8}\)
First order differential equations
asked 2021-03-08
Solve the differential equation
\(y'-lambda y= 1-lambda t\)
, y(0)=0
Second order linear equations
asked 2021-03-07
Solve the correct answer linear equations by considering y as a function of x, that is,
\(\displaystyle{d}{i}{s}{p}{l}{a}{y}{s}{t}{y}\le{\left\lbrace{y}\right\rbrace}={\left\lbrace{y}\right\rbrace}{\left\lbrace{\left({\left\lbrace{x}\right\rbrace}\right)}\right\rbrace}.{\frac{{{\left\lbrace\le{f}{t}.{\left\lbrace{d}\right\rbrace}{\left\lbrace{y}\right\rbrace}{r}{i}{g}{h}{t}.\right\rbrace}}}{{{\left\lbrace\le{f}{t}.{\left\lbrace{d}\right\rbrace}{\left\lbrace{x}\right\rbrace}{r}{i}{g}{h}{t}.\right\rbrace}}}}+{\left\lbrace{y}\right\rbrace}={\cos{{\left\lbrace{\left\lbrace{x}\right\rbrace}\right\rbrace}}}\)
First order differential equations
asked 2021-03-07
Solve differential equation
\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={\left({x}+{y}+{1}\right)}^{{2}}-{\left({x}+{y}-{1}\right)}^{{2}}\)
Laplace transform
asked 2021-03-07
Use the appropriate algebra and Table of Laplace's Transform to find the given inverse Laplace transform.
\(L^{-1}\left\{\frac{1}{(s-1)^2}-\frac{120}{(s+3)^6}\right\}\)
Laplace transform
asked 2021-03-07
Determine the Laplace transform of the given function f.
\(f(t)=(t -1)^2 u_2(t)\)
Laplace transform
asked 2021-03-07
use the Laplace transform to solve the initial value problem.
\(y"-3y'+2y=\begin{cases}0&0\leq t<1\\1&1\leq t<2\\ -1&t\geq2\end{cases}\)
\(y(0)=-3\)
\(y'(0)=1\)
First order differential equations
asked 2021-03-07
Solve differential equation
\(xu'(x)= u^2-4\)
First order differential equations
asked 2021-03-07
Solve differential equation
\(1+y^2+xy^2)dx+(x^2y+y+2xy)dy=0\)
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