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SECONDARY
CALCULUS AND ANALYSIS
CALCULUS 2
DIFFERENTIAL EQUATIONS
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Get help with differential equations
Recent questions in Differential equations
Russell Gillen
2021-12-31
Answered
Find the general solution of the given second-order differential equation.
3y''+2y'+y=0
Donald Johnson
2021-12-15
Answered
How do you find
\(\displaystyle{\frac{{{d}^{{2}}{y}}}{{{\left.{d}{x}\right.}^{{2}}}}}\)
by implicit differentiation where
\(\displaystyle{x}^{{2}}{y}+{x}{y}^{{2}}={3}{x}\)
fertilizeki
2021-12-13
Answered
Find the differential.
a)
\(\displaystyle{z}={\frac{{{1}}}{{{2}}}}{\left({e}^{{{x}^{{{2}}}+{y}^{{{2}}}}}-{e}^{{-{x}^{{{2}}}-{y}^{{{2}}}}}\right)}\)
b)
\(\displaystyle{w}={2}{z}^{{{3}}}{y}{\sin{{x}}}\)
Mary Reyes
2021-12-12
Answered
Find the general solution of the given higher-order differential equation.
\(\displaystyle{y}^{{{\left({4}\right)}}}+{y}{'''}+{y}{''}={0}\)
\(\displaystyle{y}{\left({x}\right)}=\)
fortdefruitI
2021-10-23
Answered
Find the general solution of the given differential equation. Give the largest interval over which the general solution is defined. Determine whether there are any transient terms in the general solution.
\(\displaystyle{\cos{{x}}}{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}+{\left({\sin{{x}}}\right)}{y}={1}\)
Efan Halliday
2021-10-21
Answered
Solve the given differential equation by separation of variables.
\(\displaystyle{\csc{{y}}}{d}{x}+{{\sec}^{{{2}}}{x}}{d}{y}={0}\)
bobbie71G
2021-10-19
Answered
verify that each given function is a solution of the differential equation
\(\displaystyle{t}{y}'−{y}={t}{2};{y}={3}{t}+{t}^{{2}}\)
Chardonnay Felix
2021-10-18
Answered
\(\displaystyle{\left({x}-{y}\right)}{\left.{d}{x}\right.}+{x}{\left.{d}{y}\right.}={0}\)
Please, solve by using an appropriate substitution.
ankarskogC
2021-10-09
Answered
Solve the equation explicitly for y and differentiate to get y’ in terms of x.
\(\displaystyle{\frac{{{1}}}{{{x}}}}+{\frac{{{1}}}{{{y}}}}={1}\)
Anonym
2021-10-08
Answered
Use a linear approximation (or differentials) to estimate the given number. (1.999)4
Rui Baldwin
2021-09-15
Answered
Find transient terms in this general solution to a differential equation, if there are any
\(\displaystyle{y}={\left({x}+{C}\right)}{\left({\frac{{{x}+{2}}}{{{x}-{2}}}}\right)}\)
Elleanor Mckenzie
2021-09-13
Answered
\(\displaystyle{\left(\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}\right)}=-\frac{{{y}^{{2}}+{x}^{{2}}}}{{{2}{x}{y}}}{\quad\text{and}\quad}{y}{\left({1}\right)}={4}\)
Please, solve the differential equation. Write the method you used and solve for the dependent variable it it is possible.
Kaycee Roche
2021-09-13
Answered
Find if the following first order differential equations seperable, linear, exact, almost exact, homogeneous, or Bernoulli. Rewrite the equation into standard form for the classification it fits.
\(\displaystyle{\left(\frac{{\left.{d}{y}\right.}}{{\left.{d}{x}\right.}}\right)}={x}^{{2}}{\left[{\left({x}^{{3}}\right)}{\left({y}\right)}-{\left(\frac{{1}}{{x}}\right)}\right]}\)
preprekomW
2021-09-10
Answered
If
\(\displaystyle{x}^{{2}}+{x}{y}+{y}^{{3}}={1}\)
find the value of y''' at the point where x = 1
Trent Carpenter
2021-09-09
Answered
First using a trigonometric
identity, find
\(\displaystyle{L}{\left\lbrace{f{{\left({t}\right)}}}\right\rbrace}\)
\(\displaystyle{f{{\left({t}\right)}}}={\sin{{2}}}{t}{\cos{{2}}}{t}\)
Rivka Thorpe
2021-09-09
Answered
Find the length of the curve.
\(\displaystyle{r}{\left({t}\right)}={<}{8}{t},{t}^{{2}},{\frac{{{1}}}{{{12}}}}{t}^{{3}}{>},{0}\leq{t}\leq{1}\)
Suman Cole
2021-09-09
Answered
If
\(\displaystyle{x}{y}+{6}{e}^{{y}}={6}{e}\)
, find the value of y" at the point where x=0
CoormaBak9
2021-09-09
Answered
Solve the differential equation by variation of parameters
\(\displaystyle{y}\text{}+{3}{y}'+{2}{y}={\frac{{{1}}}{{{1}+{e}^{{x}}}}}\)
Ramsey
2021-09-09
Answered
Solve the given differential equation by separation of variables:
\(\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={x}\sqrt{{{1}-{y}^{{2}}}}\)
Cheyanne Leigh
2021-09-07
Answered
Explain what is the difference between implicit and explicit solutions for differential equation initial value problems.
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