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4 years ago

What is the Gcf of 10,20,78

Mathematics

1 answer:

Ksivusya [100]4 years ago

7 0

The answer to this is 2. Ten only has two factors, 5 and 2, and 2 can be decided evenly amongst them all.

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A) Find a particular solution to y" + 2y = e^3 + x^3. b) Find the general solution.

Reptile [31]

Answer:

a.P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x}$

Step-by-step explanation:

We are given that a linear differential equation

$y''+2y=e^{3x}+x^3$

We have to find the particular solution

P.I= $\frac{e^{3x}}{D^2+2}+\frac{x^3}{D^2+2}$

P.I= $\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}$

P.I= $\frac{e^{3x}}{11}+\frac{1-2\frac{D^2}{4}+3\frac{D^4}{16}+...}{2}x^3$

P.I= $\frac{e^{3x}}{11}+\frac{x^3-2\frac{\cdot3\cdot 2x}{4}}{2}+0}$ (higher order terms can be neglected

P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.Characteristics equation

$D^2+2=0$

$D=\pm\sqrt2 i$

C.F= $C_1cos \sqrt2x+C_2 sin\sqrt2 x$

G.S=C.F+P.I

G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x)$

3 0

4 years ago

What is equivalent to 1+1 because i do not know

MissTica

2 is the answer to this equation

7 0

4 years ago

I need help please i did not understand

antoniya [11.8K]

Answer:

Step-by-step explanation:

Add up all the values for the height and divide by 9. do the same for the leaf scars.

8 0

3 years ago

vovangra [49]

Answer:

what is it asking??? I'm so confused!!!? ://

5 0

3 years ago

The length of a rectangular prism is 4√3 units. The height is 3√6 units. If the volume is irrational, which could be the measure

Jet001 [13]

Volume = length * height * width
= 4 qrt3 + 3 sqrt6 * w
= 12 sqrt18 w

let w = 2 sqrt50 then volume = 2*12 * sqrt 18*50 = 24*30 so this is rational

let w = 4 sqt 12 the v = 48 sqrt12 * sqrt 18 = 48 sqrt30 which is irrational

C and D are rational
answer is B

8 0

3 years ago