Chesley

2020-12-29

Solve differential equation
$2xy-9{x}^{2}+(2y+{x}^{2}+1)dy/dx=0$ , y(0)= -3

2abehn

Skilled2020-12-30Added 88 answers

Comparing with M dx + N dy = 0 we get

int Mdx+int (terms of N not containing x) dy=C

Given y(0) = −3

substitute x=0 and y= -3 in (1) we get

9−3=C int C=6

substitute C=6 in (1) we get

Jeffrey Jordon

Expert2021-10-21Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

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I Completed the square on the bottom but what do you do now?

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inverse laplace transform - with symbolic variables:

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My steps:

$F(s)=\frac{2{s}^{2}+(a-6b)s+{a}^{2}-4ab}{(s+a)(s-a)(s-2b)}$

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$K=0$

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