dy Find the solution of 2ху + dx X. 2у-1

Q: Use Picard's method to solve dx - Find y3(1)? -xy, y (0) = 1

A: Solution :-

Q: dy + (2x – 3)y = x³ - dx Find the general solution.

A: Given: xdydx+2x-3y=x5

Q: D6 – 6D5 – 4D4 + 18D³ + 5D² – 14D + 13y = 60cosx + 26 + 2v = sin (e-x)

A: We have to find the general solution of the given differential equations

Q: d²y Find 2 dx? y = sin 2x+cos² x

A: Using derivatives.

Q: dy Given y = x" In (2x), determine dx a.x“-' In (2x) + а-1 None

A: Please refer to the image below

Q: d²y dy and - dx B) Find if x = sin? 3z and y = tan 3z dx2

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Q: Solve Dipferential Eg. 3. dy dx 2xy' e +2xy +Y こ 2

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Q: Exercise:solve the following different D(x+ ye)dx - xe dy = 0. %3D

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Q: Q3) Solve (ysin x + y²) dx – („ - 2xy) dy = 0 + cosx %3D |

A: A differential equation of the form Mdx+Ndy=0 is said t be an exact differential equation if it…

Q: Q6) Solve the following DE: dy -5y 0 dx

A: Given : dydx-5y= 0 Now, 1ydydx = 5

Q: [ 1² dx dy = 1/2 Select one: True False

A: Evaluating the definite integral

Q: cos ax -dx = re¯ª,a>0. .2

A: With the help of Residue we can prove given result:

Q: Solve the first order inhomogeneous equation dy + 2y = 3x2 dx Hint:

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Q: dx dy 2 Select one: True False

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Q: Q5) show that the following equation is exact and solve it . ylnx²dy +dx xӀпу?dx +— dy 1 %3D x2 y

A: given equation ylnx2dy+y2xdxxlny2dx+x2ydy=1 show that the following equation is exact and solve it

Q: dy By separating the variables, solve the equation dx given that when x = 0, y = 0

A: e^y =(e^(- x^2) +1) /2

Q: 1. Use a substitution to find (6a2 + 2)e*+# dx showing working.

A:

Q: Ex:Salve the d.fferential equation (3x-y-1)dx-(X-y+3)dy-o

A: A function f(x,y) is called a homogenous function of degree n, if it satisfies the condition…

Q: dy 2xy dx 1-x (1x')* Solve %3D

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Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: d'y - 9y = e3* + sin 3x dx?

A: Given differential equation is d2ydx2 - 9y = e3x + sin(3x)

Q: Obtain the general solution using Bernoulli's equation. Simplify your final ansv answer. ix- 6* dy =…

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Q: 3 I= |(e* +x² + A\dx Дх 3D0, 25 1

A: Solve the following

Q: or which value of a the equation dz dy dx -1 oes hold? D a. 2 O b.1

A: We are asked to find the value of a.

Q: d’ydy 5. +6y= cos 2x using variation of parameter method. dx? dx Q 3. Solve the ODE

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Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: dy Determine the solution of = 8 – 3y given y (0) = 12 dx

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Q: dx Find given that dt 9x² + 4y² = 13 x = 1, y = -1, and Give your answer as a simple fraction. dx dt…

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Q: dy Solve = y(xy' -1). dx

A: Given dydx = y(xy3-1)dydx = xy4-ydydx+y = xy41y4dydx + 1y3 = x…

Q: dx Find -given that dt 7x² + 6y² = 13 x = 1, y = - 1, and Give your answer as a simple fraction. dx…

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Q: || dy 3. dx 5x2y and f(0) = 6, solve the separable

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Q: y? – a? -, y(1) = -V2 dx dy xy

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Q: (a) Evaluate by solving the work for (i) Sxe-*dx.

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Q: QI: Solve the following DE: e*dx-ydy 0y(0) = 1

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Q: dy 2ху+ бх + (х? — 4) dx Solve

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Q: L7t2 cos t 8(t)dt

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Q: Q4/Solve for two only Va+9+3 lim, o 1- dx Se sin (e*)dx 3.

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Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: Solve

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Q: Using dy = 3 dx and dx = 0.03, what is dy when x = 2? 2V3X – 2 dy (Write as an exact decimal.) %D

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Q: d'y dy Q 2. Solve the ODE dx? 4-12y = 6e** dx

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Q: X CSC -y|dx + xdy=0. Obtain the general solution of

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Q: dy Find the general solution of (x? + 4) ху- dx

A: Good Morning, This is the problem of Differential equation that can be solved by seperation of…

Q: d (241' + 30r* + 2) dt = dx

A:

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 Find the equation of the solution to dx x°y through the point (x, y) = (1, 2).

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.