dy Which is the of the equation y = e 2x +3? dx 2 В. х+ 3 С. 2х + 3 O x + 3 2X + 3 2e 2x+3 Option 4

Q: dx 1)y /sec(3x) 2) y = Vu + 2u , x= u? - 3u

A: Definition used -            Chain rule of derivative -                             ddx(f(g(x))=…

Q: dy Determine in terms of x and y for the equation x + xy² – y = 3. dx

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Q: (nx)dy/dx+2y=xy^(n+1) where n is constant, solve using linear equation diff eq

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Q: dy Find the solution of the equation 2 + 3y = 2x with y(0) = 0 dx

A: According to the given information it is required to solve the given differential equation:…

Q: 3) Find and d²y of the following equation then simplify whenever possible. dx dx² x = 3em y = 2mem

A: A detailed solution is given below

Q: y becomes 4. Show that dx y"-2 xy'+A y=D0

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Q: dy + 3x?y = x', x?, y(0) = 2. %3D dx

A: The given differential equation is  dy/dx + 3x2y = x2 y(0) = 2

Q: dy Given the equation x + xy + y =19. Find- dx %3D

A: We have to find

Q: Solve the Equation?

A: Now integrating on both sides, we get

Q: 2x If y= e, then %3D dx² a. 2x O b. 6e²x 2x 4e²* Od. 2e²*

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Q: dy Find the value of dx x2 +5xy + 3y³ = 17. at the point (2,1) for the equation OA -9/19 O B. -6/13…

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Q: d²y dy 4x+4y = 0 dx dx?

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Q: 14 If dx and y when x = 1, find y(2). 3x- 40 A 27 27 26 27 27 B)

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Q: d y then is dx? x=1-8t Suppose y = 5t* +2

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Q: Evaludte the particular solution of the differentioal equation and find X when y= 9.6 . If decimals,…

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Q: find the equation of y where dy/dx = 3x + 5 and y= 6 when x = 0

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Q: dy =2x+3 and y=3 when *=2. What is the value of y when *=>? dx Suppose

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Q: dy A4. If x = 3t2, y = t³ then dx

A: Given that x=3t2,y=t3 find dydx

Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t? –…

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Q: dy = 2x y? + 3x²y², y(l)= -1 26. dx

A: by separable variable

Q: dy If x2 + y? = 13, then at dx the point (2, 3) is : -3 2 -2 3 -4 3

A: x2+y2=13 differentiate with respect to x, 2x+2ydydx=02ydydx=-2xdydx=-xy

Q: Slove this equation -2/x e y dx =1 1 x / dy

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Q: dy e2x-y Q.2 Solve dx ex+y

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Q: The solution of dy dx 2xy = x2 + 3y? when y(1) = 3 23 + 10y3 = a? a3 + y = 10x2 Option 1 Option 2 23…

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Q: (1) Find y' (or 2 if y = 1+2 + V3 + v5x? + 7. (or ) dx

A: Given: y=1+2+3+5x2+7

Q: i-p if x2 + 3y2 = 10. Find dx? Select one: За — 2у? 4x?y + y³ а. - 3+ 2x°y2 + y² 2x4 – 3xy2 Ob. 2a4…

A: Given that: x2+3y2=10

Q: For which value of a the equation dz dy dx =1 -1 0. does hold? D a. V3 O C. V2 O d. V3

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Q: d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: d y Find dx? |(-1,2) if x² + y' = 9

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Q: d?y 6. - 2 +y=3e4x, given y(0)= dr2 dy dx 1 and y'(0) = 4 3 2/3

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Q: Rewrite the following equation with the variables separated. y' (y²+3)(e² ) dy et dx %3| ( y²+3) dy…

A: Explanation: Given that: y'y2+3ex=2 Concept: 1. y'  represents dydx

Q: Determine dy/dx given y = (7u? – 2) i fu = Væ + ? 7 O a. 349x2 O b. 349z4 О с. 349x3 O d. - 349z2

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Q: d'y Find for x* +y* = 16. Express your answer in fully simplified form. dx?

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Q: dy Find dx Assume a, b, and c are constants. ,3 (a) x² + y³ = 8 2 (b) ax² – by? = c². -

A: Differentiation problem

Q: dy = y – xy³e-2x (final answer should be in terms of y) dx

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Q: Ihe value of | y°dx + xydy Corresponds to: 17 A) 4 17 B) 4 -- 4 C) 3 19 D) 12

A: Given that: C1 : y = x+2 C2 : line segment from (-2,0) to (0,0) C3 : y = √x C4 : line segment from…

Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: dy Q2 / (B) Find for the following equation dx 1+3x y =( ) (3-x) 3x

A: We can take logarithmic and differentiation.

Q: dy when x = 1. dx If y = u" and u= 6x +6, find (Simplify your answer.) dx x= 1

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Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: dy 3. Find of the following equations: dx b. xy = 2x?y – 8x

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Q: dy/dx = x^4(7+y) given that when x=0, y=4. Solve your answer for y.

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Q: y + Jx? +yz dx = xdy when x-13', y=I when x=J3, y=| 4.

A: Homogeneous differential equation : A differential equation of the form f(x,y) dy = g(x,y) dx is…

Q: dy for the equation 6e2ªy dx 2x + y at the point where x = Find the value of 0.

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Q: For which value of a the equation dz dy dx =1 -1 does hold? a. V3 O b.V3 Oc. V2 O d.2

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Q: dy If dx 14 and y = 27 when x 1, find y(2). 3x-2 A) 27 26 B 27 40 27 27

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