3 years ago

Please help I’ll give brainliest if correct

Mathematics

1 answer:

gregori [183]3 years ago

7 0

Answer:

(-1, -13) is the correct answer

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Solve y' + 2xy = 2x^3, y(0) = 1.

dalvyx [7]

This is an ODE of the form y' + P(x)y = Q(x)
IF = $e^{ \int\limits {P(x)} \, dx }=e^{ \int\limits {2x} \, dx }=e^{x^2}$
Multiply through by IF
$e^{x^2}y'+2xe^{x^2}y=2x^3e^{x^2} \\ (e^{x^2}y)'=2x^3e^{x^2} \\ \int {(e^{x^2}y)'} \, dx = \int {2x^3e^{x^2}} \, dx \\ e^{x^2}y=x^2e^{x^2}-e^{x^2} + c \\ y=c_1e^{-x^2}+x^2-1$
But y(0) = 1
$1=c_1e^{-(0)^2}+(0)^2-1 = c_1-1 \\ c_1=1+1=2$
Therefore, solution is
$y=2e^{-x^2}+x^2-1$

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3 years ago

If x = 4y + 21y and y = 14 + 5, what is 3x × 7? No need to show your work.

podryga [215]

y = 19

x = 4(19) + 21(19) = 76 + 399 = 475

3(475) × 7

1425 × 7

9975 <--- answer.

Hope this helped!

Nate

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3 years ago

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A piano teacher has 4 1/2 hours available to teach in a night. Each lesson will last 1 1/2 hours. How many lessons can the teach

Neko [114]

Answer:

3 lessons a night

Step-by-step explanation:

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3 years ago

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How do u solve -15-6m= -10m +5

sleet_krkn [62]

Answer:

m=5

Step-by-step explanation:

first you would add 10m to both sides giving you -15+4m=5, then you add 15 to both sides giving you 4m=20 then you divide by 4 on both sides giving you m=5

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4 years ago

Can someone help me here NONSENSE=REPORT<br><br>topic: Circles and its Concept

Zina [86]

Detailed Answer:

Diameter = Radius * 2

Radius = Diameter/2

a) 64cm

r = 32 cm

Diameter = 32 * 2 = 64cm

b) 25.2 m

r = 12.6 m

Diameter = 12.6 * 2 = 25.2 m

c) 29.5 in

r = 14 3/4 = 14.75

Diameter = 14.75 * 2 = 29.5 in

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r = √32 cm^2 = 32 cm

Diameter = 32 * 2 = 64 cm

e) 49.32 ft

r = 24.66 ft

Diameter = 24.66 * 2 = 49.32 ft

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3 years ago

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