Find the x & y intercepts. x =-3 x+1 2 +5 y =2(x+3)' –8

Q: 6. If x(t) = e' +1 and y=2e²ª are the equations of the path of a particle moving in the xy-plane,…

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Q: find the seril solution of the equation y``+  4xy = 0  at the neighborhood of the  point  x0 = 0

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Q: An insect is in a toxic environment. The level of toxicity is given by T(x,y)= 2x* – 4y° If the…

A: Tx=0⇒x=0Ty=0⇒y=0Using D-TestD=TxxTyy-[Txy2]D=0 at (0,0)   T(x,y) is minimum

Q: Find the solution of the homogenous equation: 2(2x2+y2)dx-xydy=0

A: The given differential equation is  2(2x2+y2)dx -xy dy=0

Q: If -y = xy - 3x then find d at the point (-2,6) in simplest form. 1

A: As we know that the differentiation of:- dxndx=nxn-1 (fg)'=f'g+fg' fg'=gf'-fg'g2

Q: Determine if the equation (dfferential form) is exact and find the solution if it is…

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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Q: d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve…

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Q: d'y - =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve…

A: Taking integrate on both side with respect to x.

Q: . Find the general solution of the first-order equation y? – 2ry dy dr

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Q: ) Determine the Cartesian Equation perpendicular to the line L1: 4t – 2y = 8, -3t = 6 – 2x with a…

A: Write L1 in Cartesian form. Then find its slope or gradient then use it to find the slope of the…

Q: Use variation of parameters to find the particular solution to y'' - 7y' +12y = 3e³t Y(t)= Preview

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Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: Find the general solution of the given equation y" + y = 0

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Q: d?y =6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

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Q: d'y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for…

A: "By our policy, we are allowed to do one question at a time. Kindly repost another problem other…

Q: X2 , 1 avuu. 3 VA 3. x = y3, 0 sy s1 about y-axis.

A: Given function is x=y^3

Q: a) Find the general solution of the equation dªy dy dx² 4- x2 + 3e* - dr4 by using the method of…

A: As you have posted multiple parts,but they are independent so according to our guidelines we will…

Q: a2x – 7ay + 5a = 0 Reduce the given equation to (a) intercept form (b)slope – intercept form

A: (a) If a is the x intercept and b is the y intercept and if both are nonzero, then the intercept…

Q: nd the x and y-intercepts: 7) 4x-5y 7 18) y = -x- 7 yn l0, ) you Co, I

A: Answer and explanation is given below...

Q: Q1: A) Find the nearest distance from the point (-4,2) and the line 2x – y = 5 d²y dy and dr B) Find…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 13. y = 5 – Væ, x = 1, x = 4 and the x-axis.

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Q: dy ----- + 2xy 2x using the method for linear equations. dx Solve ww-

A: Given the ordinary differential equation dydx+2xy=2x

Q: Q3 The length of a curve from (0 ,-3) to ( 3,3)is given by Vx4 – 2x2 + 2 dx Which of the following…

A: Length of curve

Q: Solve and find the domain in which the solution is defined. dy/dx = (y2-xy-x2)/x2 , y(-3)=-6

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Q: Solve the equation: (x-2y) dx + 2(y-x) dy = 0 Answers should be within these givens. x2 – xy + 4y2…

A: Let's find.

Q: Q3) If y² + xy = 1, find y" at the point (0, -1)

A: We will differentiate twice and find the value of y" and it will be equal to,   - 1/4      The…

Q: B. 5x- 2y 10 To find the x-intercept, replace y To find the y-intercept, replace x with with and…

A: Given: 5x-2y=10

Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: (3x*-5)(2x +9x-6 of y= dy and %3D Determine the 7x

A: Simplify the equation. y=6x7-10x3+27x5-45x-18x4+307x5=67x2-107·1x2+277-457·1x4-187·1x+307·1x5

Q: Find the solution of the dy Qoec() +y d'ifferential equation.

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Q: T:4x-34+2-2-0 Tz: dx+ Sy-32+4 = 0

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Q: Solve the equation ru, + (x + y)uy = 1 %3D on dof:

A: In this question, we solve the partial differential equation by using characteristic method.

Q: Q3: Find the aven between the curve y,= x+2 and the Carve Y2=-2X+5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: y''-3y+2y=5e^3x,y1=e^x

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Q: The equation y3 = 3Bx is the general solution of 3y Oy Oy 3xy Ou' = 3y

A: We will form the differential equation using given solution

Q: d?y =6- 9x and which passes through the points (0, -1) dx2 Find the equation of the curve for which…

A: Differential equations

Q: d. perpendicular to the line y – 3x = 6, and has a y-intercept of -2. e. parallel to the line 2x +…

A: we have write an equationin the form: y= mx+b            → (1)Given line Y-3x=6⇒ Y = 3x+6 which is…

Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1)…

A: We will do this question by checking the conditions for the given options.

Q: 15. Find all values of the constant c so that (2x + y)dxdy = 3.

A: Given equation is Firstly, we will evaluate the integral.

Q: y" – 2y' + y = e*/x

A: The given differential equation is…

Q: nd an equation that says that P = (x,y) is e %3D call any point on y-axis has the form (0, y

A: We will use distance formula

Q: d?y Find the equation of the curve for which dx2 - =6-9x and which passes through the points (0, -1)…

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Q: D. y" – = 0 3y" + 3y' - y =

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dy 3. If e2y – e(y²–y) = xª – a², then the value of at the point (1, 0) is da

A: First we will find derivatives then put point

Q: A particle moves along the y-axis so that its position at time 0S1S 20 is given by y(t) = 5t -5. At…

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Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: d?y =6- 9x and which passes through the points (0, - 1) and (2, 3). Find the equation of the curve…

A: Integration

Q: d?y =6– 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve…

A: I am attaching image so that you understand each and every step.