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3 years ago

Find the solution for -3x - 5 = 10 “help me please

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

-3× - 5= 10+5

-3×=15

15÷-3 = -5

x= -5

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Answer:

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Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

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$Q(x)=\frac{4x}{x^2+10}$

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$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

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