Separable Differential Equations

Question 1

Find the general solution of dydx = 6x^3y in IMPLICIT form.

Accepted Answer

y^22 = 32x^4 + C

Answer

y^2 = 32x^4 + C

Answer

y^22 = 18x^2 + C

Answer

| y | = 32x^4 + C

Question 2

Find the general solution of dydx = 6x^2y in IMPLICIT form.

Accepted Answer

y^22 = 2x^3 + C

Answer

y^2 = 2x^3 + C

Answer

y^22 = 12x + C

Answer

| y | = 2x^3 + C

Question 3

Find the general solution of dydx = 4y, solved for y.

Accepted Answer

y = Ce^4x

Answer

y = e^4x + C

Answer

y = 4e^x + C

Answer

y = 2x^2 + C

Question 4

Find the general solution of dydx = 6yx, solved for y, with x in radians.

Accepted Answer

y = Ce^-6x

Answer

y = Ce^6x

Answer

y = e^-6x + C

Answer

y = -6x + C

Question 5

Which is the correctly separated form of dydx = x^2y - x^2?

Accepted Answer

1y - 1 \, dy = x^2 \, dx

Answer

1y \, dy = (x^2 - 1) \, dx

Answer

(y - 1) \, dy = x^2 \, dx

Answer

dy = (x^2y - x^2) \, dx

Question 6

Find the general solution of dydx = 6x^5y in IMPLICIT form.

Accepted Answer

y^22 = x^6 + C

Answer

y^2 = x^6 + C

Answer

y^22 = 30x^4 + C

Answer

| y | = x^6 + C

Question 7

Find the general solution of dydx = 4x^4y in IMPLICIT form.

Accepted Answer

y^22 = 45x^5 + C

Answer

y^2 = 45x^5 + C

Answer

y^22 = 16x^3 + C

Answer

| y | = 45x^5 + C

Question 8

Find the general solution of dydx = -8y, solved for y.

Accepted Answer

y = Ce^-8x

Answer

y = e^-8x + C

Answer

y = -8e^x + C

Answer

y = -4x^2 + C

Question 9

Which is the correctly separated form of dydx = xy + 4x?

Accepted Answer

1y + 4 \, dy = x \, dx

Answer

1y \, dy = (x + 4x) \, dx

Answer

(y + 4) \, dy = x \, dx

Answer

dy = (xy + 4x) \, dx

Question 10

Find the general solution of dydx = -3y, solved for y.

Accepted Answer

y = Ce^-3x

Answer

y = e^-3x + C

Answer

y = -3e^x + C

Answer

y = -32x^2 + C

Question 11

Find the general solution of dydx = 7y, solved for y.

Accepted Answer

y = Ce^7x

Answer

y = e^7x + C

Answer

y = 7e^x + C

Answer

y = 72x^2 + C

Question 12

Find the general solution of dydx = 5x^4y in IMPLICIT form.

Accepted Answer

y^22 = x^5 + C

Answer

y^2 = x^5 + C

Answer

y^22 = 20x^3 + C

Answer

| y | = x^5 + C

Question 13

Which is the correctly separated form of dydx = xy + 3x?

Accepted Answer

1y + 3 \, dy = x \, dx

Answer

1y \, dy = (x + 3x) \, dx

Answer

(y + 3) \, dy = x \, dx

Answer

dy = (xy + 3x) \, dx

Question 14

Find the general solution of dydx = 5yx^2, solved for y.

Accepted Answer

y = Ce^-5x

Answer

y = Ce^5x

Answer

y = e^-5x + C

Answer

y = -5x + C

Question 15

Which is the correctly separated form of dydx = xy + x?

Accepted Answer

1y + 1 \, dy = x \, dx

Answer

1y \, dy = (x + 1) \, dx

Answer

(y + 1) \, dy = x \, dx

Answer

dy = (xy + x) \, dx

Question 16

Find the general solution of dydx = 2yx, solved for y, with x in radians.

Accepted Answer

y = Ce^2x

Answer

y = Ce^-2x

Answer

y = e^2x + C

Answer

y = 2x + C

Question 17

Find the general solution of dydx = -9y, solved for y.

Accepted Answer

y = Ce^-9x

Answer

y = e^-9x + C

Answer

y = -9e^x + C

Answer

y = -92x^2 + C

Question 18

Which is the correctly separated form of dydx = x^2y + 4x^2?

Accepted Answer

1y + 4 \, dy = x^2 \, dx

Answer

1y \, dy = (x^2 + 4x^2) \, dx

Answer

(y + 4) \, dy = x^2 \, dx

Answer

dy = (x^2y + 4x^2) \, dx

Question 19

Find the general solution of dydx = -5y, solved for y.

Accepted Answer

y = Ce^-5x

Answer

y = e^-5x + C

Answer

y = -5e^x + C

Answer

y = -52x^2 + C

Question 20

Find the general solution of dydx = -6y, solved for y.

Accepted Answer

y = Ce^-6x

Answer

y = e^-6x + C

Answer

y = -6e^x + C

Answer

y = -3x^2 + C

Question 21

Find the general solution of dydx = yx, solved for y, with x in radians.

Accepted Answer

y = Ce^-x

Answer

y = Ce^x

Answer

y = e^-x + C

Answer

y = -x + C

Question 22

Find the general solution of dydx = 2ye^x, solved for y.

Accepted Answer

y = Ce^2e^x

Answer

y = Ce^-2e^x

Answer

y = e^2e^x + C

Answer

y = 2e^x + C

Question 23

Find the general solution of dydx = 4yx, solved for y, with x in radians.

Accepted Answer

y = Ce^4x

Answer

y = Ce^-4x

Answer

y = e^4x + C

Answer

y = 4x + C

Question 24

Find the general solution of dydx = 6ye^x, solved for y.

Accepted Answer

y = Ce^6e^x

Answer

y = Ce^-6e^x

Answer

y = e^6e^x + C

Answer

y = 6e^x + C

Question 25

Find the general solution of dydx = 6yx^2, solved for y.

Accepted Answer

y = Ce^-6x

Answer

y = Ce^6x

Answer

y = e^-6x + C

Answer

y = -6x + C

Question 26

Find the general solution of dydx = 5x^3y in IMPLICIT form.

Accepted Answer

y^22 = 54x^4 + C

Answer

y^2 = 54x^4 + C

Answer

y^22 = 15x^2 + C

Answer

| y | = 54x^4 + C

Question 27

Find the general solution of dydx = 3x^3y in IMPLICIT form.

Accepted Answer

y^22 = 34x^4 + C

Answer

y^2 = 34x^4 + C

Answer

y^22 = 9x^2 + C

Answer

| y | = 34x^4 + C

Question 28

Find the general solution of dydx = 4xy in IMPLICIT form.

Accepted Answer

y^22 = 2x^2 + C

Answer

y^2 = 2x^2 + C

Answer

y^22 = 4 + C

Answer

| y | = 2x^2 + C

Question 29

Find the general solution of dydx = 4ye^x, solved for y.

Accepted Answer

y = Ce^4e^x

Answer

y = Ce^-4e^x

Answer

y = e^4e^x + C

Answer

y = 4e^x + C

Question 30

Find the general solution of dydx = 2yx^2, solved for y.

Accepted Answer

y = Ce^-2x

Answer

y = Ce^2x

Answer

y = e^-2x + C

Answer

y = -2x + C

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Separable Differential Equations

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Separable Differential Equations

Ways to Play

Device Games: Students play on their phones

Blast Go

Zombie Escape

Avalanche

Maze Blast

Cave Climb

Blast Out

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Tour Guide

Food Truck Rush

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Board Games: Teacher-led, projected to the class

Like what you see?

More like this

Bug Blast

BlastRace

BlastQuiz

BlastBoard

Seek & Destroy

Mystery Blast

Checkers

Texas Hold 'Em

Da Bomb

Castle Siege

Hot Potato

Market Mayhem

King of the Hill

Bank Heist

Top Corner