dy 2. Find the general solution to the ODE dx 3x %3D x + 1

Q: Ex. Find the general solution to dy 1 -2.x dx X -

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Q: (3y + 2x) dx –x² dy = 0, given that x = 1, when y = 2

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Q: Find the General/Particular Solution 6. (x + 2y)dx + (y- x)dy = 0

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

Q: a. (2ry*e + 2xy + y) dx + (r²y*e -x²y² – 3x) dy = 0; when x = -1, y = 1

A: As per our guidelines we are supposed to answer 1st question only. Please repost rest questions...…

Q: (x – 2)dx + 4(x +y – 1)dy = 0

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Q: II. Determine the solutions of the following DE. 1. xy'dx + (y + 1) e¯*dy = 0 2. (2xy – y)dx + (x² –…

A: note: as per our company guidelines we are supposed to answer only one question.kindly post other…

Q: I. Find the general solution of the following: 1. dy - 2x²¹ dx y 2. dx = xy dx 3. dy = (6e³x + 1)dx…

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Q: 2. xy'dx + e"dy = 0

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Q: Find the general solution of dy/dx= xy-y/x^2-5x+

A: To find the general solution of the below differential equation. dydx=xy−yx2−5x+6

Q: dy is xy dx dx The general solution of y2 + x2 dy Other O

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Q: d²y Find particular solution for + 4 + 4y = 3xe dx dx

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Q: (2xy + x? + x+)dx – (1 + x?)dy = 0 -

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Q: dy is dy xy dx dx The general solution of y² + x² "

A: Solution is given below:

Q: Find the General/Particular Solution 6. (x + 2y)dx + (y – x)dy = 0

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Q: d²y 15. Solve dx2 dy + 2y = 3 given that when x = 0, y = -0-9 +3 dx and =-0-7. dx

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Q: dy 2x2+2x+1 Q 3. Examine dx for y(0.6) by RK-4 method if y(0) = 1, h = 0.2. x2+5x

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Q: d²y dy y = e * is a solution of dx2 = 0 dx

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Q: D) (3x² – 2y + e*+Y)dx + (e**y – 2x + 4)dy = 0 (Exact) E) (2xy*e" + 2xy³ + y)dx + (x²y*e" –x²y² –…

A: Let us consider the differential equation of the form Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x…

Q: 3. fy dy + 10g = e + dt +7 -2t

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Q: Find the general solution of the given ODE. * (x + y – 1)dx – (x + y)dy= 0 -

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Q: d²y 2) Obtain a particular solution for d*y dx+ + + y = x³ + 2x +1 dx2

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Q: dy 10. Solve: dx x+3y (Hint: y = xv(x). ) х-у

A: The given data is: dydx=x+3yx-y         .....(1) To solve the given differential equation.

Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: (x + 2y – 4)dx - (2x + y - 5)dy = 0 What is the particular solution when y(3)=1?

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Q: SOLVE BERNOULLI´S ODE y1/2 (dy/dx)+ y3/2 =1 ;   y(0)=4

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Q: The general solution of y2 + x2. dx e dy xy is = dx

A: Given: y2+x2dydx=xydydx ⇒dydx=y2xy-x2

Q: If ey 9 dy 3x and y(1) = 2, then the particular solution y(x) is %3D dx

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Q: Solve the initial value problem. dy + 7xy = 4x, y(0) = - 6 dx y =D

A: Given : Now,

Q: Find the complete solution of the following. dy =  ( 2x3 + 4x ) dx         ;         x = 1 when y =…

A: From the given differential equation: dy=2x3+4xdx Now integrate on the both sides. ∫dy=∫2x3+4xdx So,…

Q: Q2 Find (d y/d x)& (dy/dx²) ex = 1/ cosxy

A: Given: eyx=1cos xy ⇒eyx(cos xy)=1 ----(1) Differentiate equation (1) w.r.t "x" ddxeyx(cos xy)=ddx(1)…

Q: 3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

A: Take integration on both side and then put initial value

Q: Determine the general solution of (x – 2y) dx + (2x + y) dy = 0.

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: General solution of (ylny − e¯xy)dx + (² + xlny) dy = 0

A: Let's solve given diffrential equation.

Q: find the general solution of x(y+1) dx -x 2 dy=0

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Q: Find the particular solution of (x+ y)dx +(x – y)dy = 0; when x = 1 y = 1.

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Q: Obtain the general solution to the equation. dy 4. x+ 2y = x-3 dx

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Q: Find a particular solution: (x2 + 6y2) dx – 4xy dy = 0, when x = 1, y = 1

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Q: find d^2y/dx^2 implicitly in terms of y and x  2y^3=3x^4

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Q: 3- dy + 3x^²y = x³6 s dx Y- XLnx dy dy +y = ₂l₁x dx 2Lnx ets

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Q: Find the general solution for dy dy +2 + 4y = dr dx? e2= (1+ x²)

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

Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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Q: 3.) S, t°(1+ t*y°dt 4.) (x²-5x)e*dx 5.) S(4x²-7)dx/2x+3

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Q: dy 3) xIn x- +y = 2 In x dx

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Q: 3X-Y-4) dy wheh X=4 i y=l ty dx

A: You can solve by any method