If dy = x² dx, find the equation of the curve that passes through the point (1, 1). 2y + x³ + 2 = 0 x3 – 3y +2 = 0 x² – 3y + 3 = 0 23 – 3y? + 2 = 0

Q: Find P.S. of (16x+5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-³)

A: The given equation is: (16x+5y)dx+(3x+y)dy=0⇒(16x+5y)dx=-(3x+y)dy⇒dydx=-16x+5y3x+y⇒dydx=-16+5yx3+yx

Q: find dy/dx at the given point. (x + 2)2 − 6(2y + 3)2 = 3, (1,−1)

A: Given that  (x + 2)2 − 6(2y + 3)2 = 3 Differentiating with respect to x

Q: 2. x²y² = 3y' +1 dy %3D dx

A: Please refer the attached image for complete solution.

Q: Find y in terms of x. dy 4 dx =x* (32-x), curve passes through (2,9) The solution is y =

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Q: Find y in terms of x. dy dx (32-x) curve passes through (2,2)

A: According to question, given differential equation, dydx = x4 32-x57

Q: 7 1. 2ydx+x²dy = - dx; y = - when x =1 In 2 2

A: Given:- 2y dx +x2 dy =-dx  To find:- Solution of Differential equation at y = 7/2 when x =1/ln(2)

Q: 1- find dy/dx as a function of x. y = 1³ – 4t

A: Note: According to bartleby we have to answer only question please upload the question separately.…

Q: Use Bernoulli's Equation dy/dx=y-xy3e-2x

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Q: find dy/dx in terms of x and y if (x-a)^4+y^4=a^4. Assume "a" is a constant dy/dx=?

A: Given: (x-a)^4+y^4=a^4

Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0

Q: Find dy/dx given xy2 + x²y5 – x³ = 3 %3D -

A: Given that : xy2 + x2 y5 - x3  = 3. Find dy/dx . We know that d(xn)/dx = nxn-1.   Here i attached…

Q: find particular solution of (16x+5y)dx+(3x+y)dy=0. If the curve to pass thru the point (1,-3)

A: Given: 16x+5ydx=-3x+ydydydx=-16x+5y3x+y               It is a homogenous differential equation.…

Q: Find P.S. of (16x +5y) dx + (3x+y) dy = 0 If the curre to pass thru the point (1,-3)

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: Assuming that the equation a - 2y2 + xy = 0 defines y as a differentiable function of æ, find the…

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

Q: | cos 3y dy 4.

A: I=∫ cos6(3y) dy3y=tdy=t3Integration by parts;∫uv dx=u∫v dx -∫ dudx ∫vdx dxI=13 ∫ cos6t…

Q: solve by Bernoulli's Equation y(6y2 – x - 1) dx + 2 x dy = 0

A: Given differential equation is  y(6y2-x-1) dx + 2x dy=0 ⇒            2x dy = - y(6y2-x-1) dx…

Q: Find y in terms of x. dy dx 5x 3/4, curve passes through (1, 10) A) y =- 7/4 א. -714. 5 By = 5x 1/4…

A: The given differential equation is dydx=5x-34. It is given that the curve passes through the point…

Q: dy 17. Find dx at the point (-2, 2) given that 2x- 5y = 3xy

A: Explanation and solutions is given below.....

Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1, –3)

A: Given information: The differential equation is 16x+5ydx+3x+ydy=0. Calculation: Solve the…

Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: dy -y² = yx+x² dx

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Q: Solve Hhe dipperential Eguentione. 3(x+zy-4) dy + Gx-3y +2) dx= 0

A: Wea will convert the equation into homogeneous differential equation by substituting and then solve…

Q: If x2+y2-2axy=1  then find (dy/dx)

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Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

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Q: Find the general solution of the equation тx dy %3D пу dx

A: see calculation below

Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1,–3)

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Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

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Q: Find dy/dx at the given point. (2t + 9, 7t − 9), t = 1

A: We have to find dy/dx at the given point - (2t + 9, 7t − 9), t = 1

Q: = y² dy dx

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Q: d²y dy +4 dx² + 4y = 0, when x = 0, y = 1, y' = -1 dx

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Q: For which value of a the equation dz dy dx =1 -1

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Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given that, 17)  5xe9y=12; 1,018) x2+3y2=13; 1,2 Find the derivative. Here we use the…

Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: 1-y² V1-y? I-2(1- x) dy dx

A: We will divide and integral the given function

Q: Find dy dx x = 4 + ² If y=1-t² and x=

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Q: Find dy/dx for the curve x^2y^3 - y^2= x+y at the point (2,1)

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Q: Solve (1+2.x) dy d²y -6(1+2x)- dy -16y = 8(1 + 2x) with y(0) = 0, y'(0) = 2. dx dx?

A: Given differential equation is: (1+2x)2d2ydx2-6(1+2x)dydx+16y=8(1+2x)2 Given differential equation…

Q: 30. Find the solution of exe dx-e-2Y dy = 0 %3D

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Q: tan dy| 2 Find dxlx=7 for the equation y = (Vx + 1) 2.

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Q: Solve the Bernoulli's equation dy/dx −1/2(1+ 1/ x)y = (3 /x)y^3

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Q: Find y in terms of x. dy dx 12x(3x 2 - 1)3, curve passes through (1, -3) A y= (3x 2.1) 4 B y = (3x 2…

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Q: Find the function y = f(x) whose graph passes through the point (5π/12,3.5)if dy/dx =cos(2x−π/3).

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Q: If the DE represents a curve that passes through x=5 and y=6, find the exact solution of…

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Q: (ve* +y)dx+(2xye* +1)dy = 0

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Q: 2. Determine y so that it will satisfy the equation: d'y_dy dx = 4e* +3e²* dx with conditions y(0) =…

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Q: Solve using Bernoulli's Equation 1. x^2(dy/dx)+y^2=xy

A: We have to solve the given equation

Q: find the PS of (16x+5y)dx +(3x+y)dy= 0. if the curve to pass thru the point (1,-3

A: 16x+5ydx+3x+ydy=0 -1equation 1 can be written as

Q: For which value of a the equation dz dy dx =2 -1 does hold?

A: The constant rule of integration and the power rule of integration are given by and, respectively,…

Q: Find the solution of the equation dy -y = x dx | subject to the condition y(1) = 2. %3D

A: Given differential equation is xdydx-y=x and y(1)=2

Q: if y=(x+1/x)/(2x-3) the dy/dx will be

A: