Carole Yarbrough
2021-12-20
Answered

Solve the following differential equations. Use the method of Bernoulli’s Equation. $x(2{x}^{3}+y)dy-6{y}^{2}dx=0$

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asked 2021-12-16

Solve the given LDE: ${y}^{6}-64y=0$

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Find the inverse Laplace transform

$\frac{4{s}^{3}-{s}^{2}+5s+2}{{s}^{4}}$

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Solve the initial value problem below using the method of Laplace transforms.

w"-4w+4w=20t+64

w"-4w+4w=20t+64

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Solve the differential equation by variation of parameters

$yy=\mathrm{sin}x$

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Each of the differential equations is of two different types considered in this chapter-separable, linear, homogeneous, Bernoulli, exact, etc. Hence, derive general solutions for each of these equations in two different ways; then reconcile your results.

$\frac{dy}{dx}=3(y+7){x}^{2}$

asked 2021-12-08

Let

$\hat{F}=L\left(f\left(t\right)\right)$

be the Laplace transform of f(t). Show that:

$L\left(f\left(at\right)\right)=\frac{1}{a}\hat{F}\left(\frac{s}{a}\right)$

be the Laplace transform of f(t). Show that:

asked 2021-12-31

Solve the following differential equations.

$y-4y=0$