Solve: xy' - (x + 2)y = -2x2 – 2x

Q: A non-exact equation can be converted to an exact equation by OA. Multiplying with the Integration…

A: Choose the correct option:

Q: if 2x^2+3x+xy=2 and y(2)=-6, find y'(2) by implicit differentiation

A: Firstly, Differentiate the given function with respect to 'x' and find y'(x). After that find y'(2).

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

A: How much work is required to pump all the water from a right circular cylindrical tank that is 8…

Q: give 3 examples of the reciprocal rule of integration formula

A: The reciprocal rule for the integration is: ∫f'(x)f(x)dx=ln |f(x)|+C

Q: max value for y

A:

Q: Find Dxy for y = sinh-'(x5)

A:

Q: Show that √(10x + 1) and √(x + 1) grow at the same rate asx→ ∞ by showing that they both grow at the…

A:

Q: Find y" by implicit differentiation. 3x3 + 5y3 = 7 y" II

A: Given       3x3+5y3=7   1using implicit differentiation, w.r.t x1  ddx(3x3) +ddx(5y3)=ddx(7)…

Q: Q-3-Edaluate the fallowing Integration 1- X3 x21 2. 2- X+1

A: Use the partial fraction to solve the given problem.

Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

A:

Q: Find y" by implicit differentiation. 3x3 + 4y3 = 2

A:

Q: 23

A: Given an equation

Q: x³tanh² (x*) sech²(x*) dx

A:

Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" :

A:

Q: If 3x2 + 3x + xy = 2 and y(2) 8, find y' (2) by implicit differentiation. %3D 1

A:

Q: Find y" by implicit differentiation. 2x3 + 3y3 = 2 y" =

A:

Q: y = sec (2 – 3x)

A:

Q: 2. y" + 2y' + y = e-* In x

A: General solution of non homogeneous differential equation is sum of complementary part and…

Q: find dy/dx by implicit differentiation x3 + 4xy - 3y4/3 = 2x

A: Given: x3 + 4xy - 3y4/3 = 2x

Q: Use implicit differentiation and solve for dy/dx if 6x+(x^3)y+3y^2=10.

A: The technique of implicit differentiation allows us to find the derivative of y with respect to x…

Q: The average annual increment in the horn length (in centimeters) of bighorn rams born in recent…

A:

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: Find y" by implicit differentiation. 9x2 + y2 = 4 y" =

A: Given query is to find tue double derivative of the expression.

Q: How do you integrate 25e^-x?

A:

Q: Find y' and y" by implicit differentiation. 4x3 - 3y3 = 7 y' y" II II

A:

Q: Find az when yz+x In y = 2.

A: Use implicit differentiation

Q: Calculate the second derivative y : Vx - Vy = 1

A:

Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

A:

Q: Find 2 at the point (4,1,6) for -6x² + 7 ln xz + 4yz² – 2e? = 0 %3D

A:

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: Find y" by implicit differentiation. 5x3 + 4y3 = 9 У" - %3D

A:

Q: Find the second derivative of y = -5 %3D -

A:

Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

A:

Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

A:

Q: Find y" by implicit differentiation. 3x" + 4y - 2

A: differentiate it with respect to x.

Q: Find y double prime by implicit differentiation8x^2+y^2=4

A: We have given

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: Find y'' by implicit differentiation 4x3+3y3=6

A:

Q: Find y" by implicit differentiation. 4x3 + 5y3 = 1 y" =

A: We will find the y" of the given function using the implicit differentiation.Below find the solution…

Q: Use the variation of parameters method to solve y" + y = secx.

A: A differential equation is given. We need to solve it by variation of parameters.

Q: When should I use partial integration and when should I use substitution?

A: When should I use partial integration and when should I use substitution.

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: