2. 3t3 dx = x(x²+ 212) dt. Solve by two methods. %3D

Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: 2x(y+1)dx-ydy=0

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: Solve (x+2y-1)dx + (2x+y+1)dy = 0

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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: Solve this differenttial equation.   By help of integrating factor. (3xy+6y^2).dx+(2x^2+9xy).dy=0

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Q: e 4e2 -8e+5 dx

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Q: solve using the appropriate method.

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Q: PLEASE SHOW COMPLETE STEP-BY-STEP SOLUTION. Solve this First Order Linear DE dx/dt + (3/50+2t)x =…

A: In this question we will use basic of calculus i.e concept of solution of differential equations. We…

Q: (D3 + D - 10) y = 29e4x

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Q: Find | (V – 6e") dx, where A > 3. Answer choices have been slightly simplified

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Q: Solve. (3x+2y+7) dx + (2x – y) dy = 0 %3D

A: Solve the differential equations by using exact method.

Q: How can we solve this separable equation? N(y) * dy/dx = M(x)

A: The given differential equation is, Where, N(y) and M(x) are the functions of the variable y alone…

Q: x[cosh?(2x²) – sinh²(2r²) ]dx is equal to A xdx B xdx x²dx D None E dx

A: To find the given integral is equivalent to which integral.

Q: Find an integrating factor and solve the given equation. (12x + 3) + (4²+¹2) = 0 12y dy dx

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Q: Use first approximate Picard's method to solve = 2x +3y. y(0)= 2. dx .a None of these .b +6x+2 .c +…

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Q: Q1/ Solve the D.E. by variation of parameters x"+ 4x = sin 2t %3D

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Q: Using undeterminate coefficien ts, Solve : d'y _q dy =9 e + 82* dx 3 3X 3 dx

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Q: Test the equation for exactness and solve the equation (2xy − 3x^2)dx + (x^2 + 2y)dy

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Q: Obtain the general solution to the equation. 5. dx + (x – v²)dv = 0

A: Given that: dx+(x-y2)dy=0

Q: Use appropriate substitution to reduce the following equation to a variable separable and then Зх +…

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Q: The solution of |x 2* dx is

A: To find: ∫ x2xdx

Q: dy d²y — 4х — + бу 3D 4х — 3 dx² dx

A:

Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: By using the substitution u = x3", find nx3n-1e + 8) dx where n is a constant. Hence, evaluate "(exn…

A:

Q: 2. S 2e* tanh e* dx

A: A detailed solution is given below.

Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: 5. ye2*dx = (4+e2*)dy

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Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: 4. Find the general solution for the DE below: a) = x b)= 3r²-1 dx 2s

A: Seperate the Variables before applying the integral.

Q: solve d 3 d'y = sin2x dx dx

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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: By using appropiate substitution, solve dy hpT i. x2 dx 1 = xy – y² ii. – 2. (2х + у)е2»+у | dx

A: Consider the provided question, (b) (i)

Q: What is the general solution of dx? (1– 2e3 )2

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Q: Solve the IVP: - 8x + 7y – 7x + 2y dy where y(2) = 9 dx Solve your solution equation explicitly for…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  here we have

Q: solve it by direct methode dy/dx = 1/4x2+4x+2

A: The given differential equation is,  dydx=14x2+4x+2 separate the variables, dy=14x2+4x+2dx

Q: dx 3hx? dx 2. 3. 4.

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Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: What is the general solution of e3x dx? J (1 – 2e3= )2

A: Use substitution t=1-2e^(3x)

Q: Solve each of the equations. Integrating Factors Зу 3x?y + dx + (2.x + 6 In x) dy = 0 %3D

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take y…

Q: of Solve the initial value problem xdy + dy= ydx, yca) =6 %3D df dx find the function fox) Given =…

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Q: Solve using method of undetermined coefficients d?x d3x + 6 dt3 dt2 d?x + 12 dx dx + 8x = 0 when t =…

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Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Q: 4x (e) Find -dx .2 Vx² +4

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Q: Q2: Solve the following integral (1) 7x²+14x+15 (x²+3)(x+7) dx dx ; (2)

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Q: (2xy - x + 2y - 1) dx + (4x²y² - x² + 4xy² - x) dy = 0

A: