Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy %3D

Q: dy Q10., Solve (1+ x²) + y = tan¬1x. dx

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Q: ex dx /1-ex

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: e 4e2 -8e+5 dx

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Q: S16 -X2 メー dy dx + x?+yz

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Q: 2) dy x+3y dx 2x

A: We will solve the problem

Q: = (x²ye 3xy²) dy dx

A: dx = x2yey3 - 3xy2 dy

Q: Solve for dy y = sec 2x² dx

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Q: Q2: solve the equation 3 dx 2х * dy y

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Q: 1+x dx V1-x

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Q: B. Solve the followina equation using the dete 3. 2y(x2 -y + x) dx + (x2- 2y) dy = 0

A: Given,                  2y(x2-y+x)dx+(x2-2y)dy=0

Q: - Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: Q1:- Solve the following DEs:- (-4y + e-3*)dx = 4 dy

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Q: Solve the equation dy --y=-y*(x² +x+1); y(1)=2. dx

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Q: Solve the equation 3(y* + 1)dx + 4xy³dy = 0. (Solution must be clear and concise.)

A: The given differential equation is 3y4+1dx+4xy3dy=0. The above differential equation can be…

Q: Qz Solve the ordinary differental equation ye dy dx with y(U=2

A: To find the solution of a given ordinary differential equation first we will separate the variables.…

Q: L V9 – x² dx

A: Given,          ∫039-x2dx

Q: Q2/ solve; A: dy - = e* * y3 dx x+1

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Q: Q2) Solve (y+ysin x) dx - (cosx- 2xy +) dy = 0

A: Given differential equation is  y2+ysinxdx+-cosx+2xy-1y2+1dy=0 Comparing it with Mdx+Ndy=0, we get,…

Q: 2 y = (x ² + 1)² Find dy dx

A: To find derivative.

Q: Solve the equation 3(y+1)dx-(x+y +3)dy =0.

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Q: y=x√3-2x³

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Q: Solve the equation 3(y+1)dx-(x+ y +3)dy =0.

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Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: dx 6) I = v9-

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

Q: SOLVE TOTAL DIFF.. EQUATION. (x+2)²dy + y² (dx+dz) =0

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Q: Use Picard’s Method with 3 iterations to solve for y(0.1) and y(0.2), the equation dy/dx = x2+y2;…

A: Picard method: Consider the initial value problem, dydx=fx, y, yx0=y0 Then  yn+1=y0+∫x0xfx,yndx…

Q: Solve the D.EXY+Y=1/1/2

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Q: xy dy + (x^2+y^2) dx=0

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Q: y (2xy + y²) dx + x (y² − x) dy = 0

A: According to question given:y(2xy+y2)dx+xy2-xdy=0y(2xy+y2)dx=-xy2-xdydydx=-y(2xy+y2)xy2-x

Q: 3. (бх + у?)dx + y(2х — Зу)dy

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Q: Q2:- change the order of integration 1- Say, 4cosx dx dy kp xp dy dx 티/

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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: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: dy 2ху+ бх + (х? — 4) dx Solve

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Q: Solve dy/dx=(x+y)2

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Q: Se"dy 3.

A: We have to solve

Q: Q1- d?y Classify and Solve; dy = 0 dx dx2

A: Given: Differential equation is d2 yd x2 +dydx= 0 To classify and solve above differential equation…

Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 7. dy = (x – 3y)dx

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Q: Solve Yor メ= o-5 X (6)=0 %3D dy

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Q: Solve the equation (2y³ – x³)dx + 3x²ydx = 0. correction to the 2nd term: dy

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

A: as per guidelines we only solve one question at a time if you want to know the answer of all please…

Q: Q1: Use trapezoidal method with n=4 to approximate 4x4 dx

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Q: Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: OUse the undetermined coefficient technique to solve d²y dy + 10 + 25y dx 14e-5x dx?

A: Consider the given function d2ydx2+10dydx+25y=14e-5x. Obtain the general solution of the given…

Q: Solve for dy in the function dx Y= (3x-2)5(2x? +5)" and simplify the result.

A: The given function is y=3x-252x2+54

Q: dy Solve dx + 4 subject to the initial condition y(0) = 0. II

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.