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CALCULUS AND ANALYSIS
DIFFERENTIAL EQUATIONS
FIRST ORDER DIFFERENTIAL EQUATIONS
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Differential equations
First order differential equations
Laplace transform
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Differential equations
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First order differential equations Answers
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
First order differential equations
asked 2021-03-07
Solve differential equation
\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={\left({x}+{y}+{1}\right)}^{{2}}-{\left({x}+{y}-{1}\right)}^{{2}}\)
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
\(1+y^2+xy^2)dx+(x^2y+y+2xy)dy=0\)
First order differential equations
asked 2021-03-07
Solve differential equation
\((cos^2y)/(4x+2)dy= ((cosy+siny)^2)/(sqrt(x^2+x+3))dx\)
First order differential equations
asked 2021-03-05
Solve differential equation
\(u'-5u=ve^(-5v)\)
First order differential equations
asked 2021-03-05
Solve differential equation
\(dy/dx -12x^3y = x^3\)
First order differential equations
asked 2021-03-02
Solve differential equation
\(ty'+(t+1)y=t, y(ln 2)=1\)
, t>0
First order differential equations
asked 2021-03-02
Solve the differential equation
\((x-3y)dx-xdy=0\)
First order differential equations
asked 2021-03-02
Transform the given initial value problem into an initial value problem for two first-order quations
\(u"+0.25u'+4u=2cos(3t)\)
, u(0)= 1, u'(0)= -2
First order differential equations
asked 2021-03-01
Solve differential equation
\(t^2dy= (8ln^2t-ty)dt\)
First order differential equations
asked 2021-02-25
Solve differential equation
\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}+{\frac{{{y}}}{{{4}{x}}}}={3}{x},\ {y}{\left({2}\right)}={3}\)
First order differential equations
asked 2021-02-24
Solve the differential equation
\(x dy/dx= y+xe^(y/x)\)
, y=vx
First order differential equations
asked 2021-02-24
Solve differential equation
\((x+2)y′+4y=(3x + 6)^-2 lnx\)
First order differential equations
asked 2021-02-23
Solve differential equation
\(dy/dx+ycos(x)= 4cos(x)\)
, y(0)=6
First order differential equations
asked 2021-02-21
Solve differential equation
\(\displaystyle{y}'+{3}{x}^{{2}}{y}={\sin{{\left({x}\right)}}}{e}^{{-{x}^{{3}}}},\ {y}{\left({0}\right)}={1}\)
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