Coefficient Linear in Two variables (x- 3y-7) dx-(2x - 4y-8) dy= 0 %3D

Q: Separation of Variables Is an equation of the form dy f(x)g(y) – f(x)h(y), 8(y) + h(y) dx separable?…

A: If the differential equation is in two variables x and y, separable equations in the differential…

Q: x+3 x ³ + 8x² +16x S da

A: To evaluate the given integral by using partial fractions.∫x+3x3+8x2+16x dx

Q: Profit The revenue from sales of x units of a productis given by R(x) = 600x - 0.01x2, and the cost…

A: The revenue from sales of x units of a product is given by R(x) = 600x - 0.01x2And the cost of…

Q: Integrating Factor by Linear Equations: 7.xx-y-5x43x² + 2x = 0 dx

A: Let's find.

Q: オーe-2r 12+e-2r x²+e-2r -2(x-e2) -dx x-+e de -2y, None

A: The given integral is; (x-e-2x)/(x2+e-2x).

Q: y(2xy + 1)dx – xdy = 0

A: Given that, the differential equation y2xy + 1dx - xdy = 0 To find the set of solution

Q: Separation of Variables: Solve for y' = yx' O x4 = y In c Ox = cy

A: To solve the given differential equation by separation of variables

Q: Differential Applications y = f (x) A company produces x units of goods at a cost (5x2 - 10x + 30)…

A: Here, given that the total cost of goods for x units is Cx=5x2-10x+30. The goods are sold out at…

Q: Separation of Variables Is an equation of the form dy /dx = f (x)g( y) - f (x)h( y), g( y) ≠ h( y)…

A: Given that, dydx=fxgy-fxhy, gy≠hy

Q: equation given ation. 10) passes through (2, 0) and (4, -4)

A: Equation line passing through x1,y1 and x2,y2 is, y-y1=y2-y1x2-x1x-x1 y=mx-mx1+y1;   m=y2-y1x2-x1 is…

Q: df Let f(x) = 7x° - 13x - 6, x2 1.5. Find the value of at the point x = 234 = f(4). dx df at the…

A: The given function is: fx=7x3-13x2-6 Differentiate the given function with respect to x.…

Q: Separation of variables:  y'-xy+y=2y

A:

Q: 4. y- /25 – x, y-0, x- 2, x-4: about the x-axis 5. x- 2y. x- 0, y = 9: about the y-axis

A:

Q: e4vdv aP av° dv (1+3e4v)2

A: We have to find the integral of the given function.

Q: (x' +x' – 5x +15)dx (x² + 5)(x² + 2x + 3) 4.

A:

Q: Coefficient Linear in Two Variables (x, y) (y- 2)dx − (x− y- 1)dy = 0

A: Fist order linear differential equation

Q: Linear equation of Order one 1. (x* + 2y)dx – xdy = 0 2. y' = csc x – y cot x

A: As we know that the differential equation Mdx+Ndy=0 is exact. If ∂M∂y=∂N∂x. The solution is:…

Q: -x³ +10x² – 5x +15 dx 2. x’(x² +5)

A:

Q: answer #2 using partial fractions

A:

Q: slope slope = slope = 1 d) y= -2x+ 1 e) y= -3x+ 3 f) y=1.5x - 1 y y y 1 -1 1 2 coefficient of x:…

A: Have to fill the table . find the change in y and slope

Q: Chemical Reaction. In an autocatalytic chemical reaction, the product formed is a catalyst for the…

A: Given dQdx=kx(Q0-x)Q0=amount of original substancex=amount of catalyst formed.

Q: Separation of Variables Find C,if f(1) = 2 = y (2+y)dx + (2 - x)dy = 0

A:

Q: using y = mx + E y = -3x – 1 Slope = -3 %3D y-intercept = | %3D

A: Given equation is y=-3x-1We know that slope-intercept form is y=mx+bm is the slope and b is the…

Q: ation 2(3x + 6) = 3(x - 10). The table shows her step Given 2(3X + 6) - 3(x - 10)

A:

Q: df 1 at the point x 51=f(3). Let f(x) = 5x° - 9x-3, x2 1.5. Find the value of dx df The value of at…

A: f(x)=5x3-9x2-3, x≥1.5The value of df-1dx at the point x=51=f3

Q: Learning Task 2: Find the derivative of 4x2 + 6y3 =50 by filling the blanks. (2 x(x-)+x 6)(y3-1)_)…

A: Given: 4x2+6y3=50

Q: Homogenous Equations II. Solve the following homogenous equation 2. xydy = (x2 + 2y2)dx x²+y? 3. y':…

A: Put y =vx and solve it.

Q: (d) y "+3y"+3y'+y =0

A: We have to solve given problem:

Q: Linear Function: g0) = 4x-2 a. What is the domain of f0) and g(x) ? b. What is the înitial value of…

A: Given function is g(x)=4x-2

Q: e2x-ydx + ey-2×dy = 0 %3D

A:

Q: Use variation of parameters to find the general solution of the equation  y" - 2y' + y = (e^(x))/x…

A: Use variation of parameter.

Q: etermine where V(z) = z*(2z - 8)3 is increasing and decreasing. %3D

A:

Q: dy/dx = 8x°/5y? dy/dx = 16x /4y° %3D 8 ,3 %3D

A: We solve these differential equations by variable separation method.

Q: 5) (x+y-4)dx-(3x- y-4)dy = 0; when x = 4, y =1

A:

Q: ransformations. 1) y=(x+3)2 2) y= -2(x+3)2 3) y=-2(x+3)2+1

A: Now, we will plot the graphs by the mapping rule.

Q: Parallel Lines 6. (x – 2y +3) dx + (3x – 6y + 1) = 0 7. (2x +y + 1)dx + (4x +2y +7) dy = 0

A:

Q: a. Domain b. Range c. f(-2) d. f(4) e. x-values where f(x)= -2 f. x-intercepts and y-intercepts

A: We can easily find these values from the given graph

Q: (x3y3 + 1)dx + x*y?dy = 0

A: Given equation is: x3y3+1dx+x4y2dy=0 Rewriting this equation:…

Q: Homogeneous Functions xdx = -ydy show your solution and box the final answer

A:

Q: Evaluation. 1. f5x³-³ dx √x3 Determine the antiderivative for each. Show complete solution. 2.…

A:

Q: Separation of variables :    (square root(x2+1)) y'-xy=x

A:

Q: Question Find dy and evaluate when x = 3 and dx = –0.2 for the function y -2x2 + x - 4. Provide your…

A: We have to find the value of dy.

Q: 3. 2x-4 is dilated by a scale factor of and centered at the origin. 2 The line y = Which equation…

A:

Q: Variation Suppose that z is inversely proportional to y and that z = 12 when y = 16. Write an…

A: If any variable say x is inversely proportional to any other variable say y, then the equation can…

Q: Graph linear equations on graph paper. a) f(x) = (−4/3) x+ 7 b) −4x + 3y + 24 = 0

A:

Q: CHAIN RULE DERIVATIVES glx) = (2 -7x)" %3D 2.) G) - 52 3) y- (6+5t-t) 4.),9(x) = (4u* – eu

A: As per guidelines we can solve only one question at a time so the derivative of first  question can…

Q: Coefficient of Linear in 2 Variables (2x+3y-5)dx + (3x-y-2)dy =0

A:

Q: (*+2у-1)dr -(2r +у-5) dy — 0 %3D

A: