(3x4-43)dxc+(xy²-2x?4)dy:

Q: Find dy/dx: 4x²-3 y = Vx2–1

A: The given function is, y=4x2-3x2-1 To find the expression for dydxwe need to use to division rule of…

Q: (2x – 5 y dx + (- 5.x + 3y² kdy = 0||

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Q: 6. x2 +7 y = 8. dy dx II

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Q: dy :- 15x²y and y = 4 when x = -4 dx

A: To solve the initial value problem  dydx = -15 x2ydyy = -15x2 dx

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

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Q: d'y 4x dx2 dy +6- + у %3D0 dx

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Q: V 2 - y2 4(х + y) dx dy

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Q: d³y 4. dx3 d?y dy -2- dx2 + 4 – 8y = 0 dx

A: The given differential equation is; d3y/dx3 -2d2y/dx2+4dy/dx-8y=0.

Q: dy y = (3x2 + x-2)-1; dx

A:

Q: dy - 2rV1 – y³, -1 < y< 1 dx

A: Given dydx=2x1-y2

Q: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: Evaluate the integrals

A: The given integral is ∫02∫03y∫x2+3y28-x2-y2dzdxdy.

Q: d²y - x² = 0 with dx2 (x = -3) = 2, y(2)=4 dx

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Q: B: Find dy /dx 4x5-5x+2x3 2- y = x2

A: We have to find the derivative dy/dx.

Q: „ 2x2-5x if y= dx dy Find 5x3 +5

A: y = ( 2x2 - 5x ) / ( 5x3 + 5 ) y'=?

Q: dy dx2 in terms of x and y. Find x2y2 - 4x = 3 dy dx2

A: Given equation :

Q: d'y d²y dy dx3 -2 dx2 +9. - 18y = 0 dx

A: Given equation is d3ydx3-2d2ydx2+9dydx-18y=0Here we have a linear differential equation which…

Q: (2x - xy² - 2y + 3) dx - (x?y + 2x) dy

A: Recall: In an equation of the form Mdx+Ndy=0 , first check the condition of exactness…

Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: dz (D2 + 16) (D² + 4D – 5) (D² + 2D - 3)*z = 0, Dz = dr

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Q: find in terms of x and y. dx 18) x =-4y+2y

A: x2 = -4y +2y3 To find dy/dx in terms of x and y

Q: d²y + y = 0 dx2

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Q: ;F · dř = Sc(-5æ + 4y³) dx + (x³y) dy, what is F?

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: d²y if 2x2 + 5y² = 9. Find %3D dx2 Provide your answer below: -口 dy dx2

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Q: y = (3x² + x-2)-1; 49 -1 , dy dx

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Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: d²y Find dx ,where y = 5x – 3x²,

A: we have to find the second derivative at x=1

Q: 22 d'y dx² dy 7x- +16y=0 dx

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Q: dy y2-8y+5 13-1 dx x2+2x+5

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Q: Let y = 4**-2x+3. Find d²y - dx2°

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Q: (х-4y-9) dx +(4x +у-2) dy %3D0

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Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: dy - ¿°cax-4) .y(5) - D dx

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Q: r1-x 2–2z 31. dy dz dx

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Q: a) dx² d²y + 9y = -2e3x „y(0) = 1 ,y' = 1 dx

A: From the given differential equation: d2ydx2-6dydx+9y=-2e3x So, we can also write as; D2-6D+9y=-2e3x…

Q: y" -2y'-3y= 4e* +5, 54 d³y d²y 9. 3x %3| 3 10. . = 3e* +4x? dx? Soluc

A: In the question it is asked to solve the differential equation  y''-2y'-3y=4e3x+5…

Q: If x3 + y3 = 16, find the value of d2y/dx2 at the point (2, 2).

A: Given:

Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: dy_2y-x+5 dx 2x- y-4

A: Find the solution of the ordinary differential equationdydx=2y-x+52x-y-4

Q: dy *+ 2xy = 0 dx 6.26. у - 3x4у %3D0

A: The general form of a linear homogenous differential equation is given by dydx+Py=Q. The solution of…

Q: (6x²-y+3) dx +(3y²-x-2) dy

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Q: dy 3x - 4 81. if y = %3D dx 12r²

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Q: dy Find - if y = dx dx 9x-8 72x2

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (y - 2x - 9) dy = (x + 2y + 7) dx

A:

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: