3 years ago

Help does any one know A. 20/3 B. 4/15 C. 3/20 D. 15/4

Mathematics

1 answer:

densk [106]3 years ago

7 0

Dividing a number by a fraction is the same as multiplying the number by the reciprocal of the fraction.

Therefore:

$5\div\dfrac{3}{4}=5\cdot\dfrac{4}{3}=\dfrac{5\cdot4}{3}=\dfrac{20}{3}\to\boxed{A.}$

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The differential equation y′′=0y′′=0 has one of the following two parameter families as its general solution: yyyy=C1ex+C2e−x=C1

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Answer:

$y(x)=6+9x$

Step-by-step explanation:

Given differential equation, $y''=0$

Characteristic equation is given by $m^2=0$

$\Rightarrow m=0,0$ .

Differential equation have repeated roots and solution of differential equation is $y(x)=C_1+C_2x$ .............................(1)

Initial conditions are $y(0)=6,y'(0)=9$

Plugging first condition in equation (1),

$6=C_1+C_2(0)$

$C_1=6$

Equation (1) becomes

$y(x)=6+C_2x$ ............................(2)

differentiate equation (2) with respect to 'x',

$y'(x)=C_2$

Plugging second condition,

$C_2=9$

Hence, $y(x)=6+9x$

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