Exercise 7 Find the general solution 1. 6y'dx - x(2x + y)dy = 0

Q: General solution of 2xydx+y^2dy=0

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Q: solve the following equations: (x^2+1)dy/dx+2xy=4x^2

A: Step 1: Concept. Step 2: Solution of first question.  Step 3: Solution of question 3.

Q: d^2y/dx^2-6dy/dx+9y=3xe^-3x+3x^2-2

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Q: How did you integrate (y^2/4)^2

A: We shall solve only the part where there is confusion/doubt as asked in the above question.

Q: Show the solution of xdy/dx+2y=x^2 is y = x^4+C/4x^2

A: By arranging given differential equation we will get that it is of the form     y' + P(x)y = Q(x)…

Q: Solve y′  of (t^5+t)(t^3−4t+1)

A: ddtt5+tt3-4t+1Apply the Product Rule:  f·g'=f '·g+f·g'f=t5+t,…

Q: Solve: x^2y′′ + xy′ + x^2y = 0 where y(0) = 2

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Q: (3y" + y'-14)=3*256e768x - 1536

A: The given differential equation is  (3y" + y'-14)=3*256e768x - 1536

Q: Minimize Q = 4x^2 + 3y^2 where x + y =7

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Q: y=c_1e^x+c_2x^3

A: Elemination of arbitrary constants

Q: 5x^4cos^2ydx-dy=0 find its DE

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Q: (2xy+x^2+x^4)dx - (1+x^2)dy=0 the answer should be

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Q: Find the solution of the D.E. xydx - (x? + 3y) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx−x2+3y2dy=0....1. We have to find the solution of the given…

Q: Solve the flrst order diflerential equation:…

A: Given differential equation is…

Q: (2y^2 + 3x)dx+2xydy=0 Solve using integrating factor

A: To solve the following differential equation by using the integrating factor.2y2+3x dx+2xy dy=0

Q: Find the general solution: 8x^3 y''' + 10x^2 y'' + xy' + y = 5

A: According to the given information it is required to find the general solution of the given…

Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: 94X080 Solve (y2exy² + 4x √x + (2xyexy - 3y²)dy = 0

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Q: Please solve this question Using *Homogenous method step by step in detail dy d³y + 3 d²/+3dx + y =…

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Q: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

Q: For the equation, 2y(x^2 - y + x)dx + (x^2 - 2y)dy = 0, what is the solution

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Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

Q: Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b.…

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Q: Find the complementary solution: (D^3+D)y=x

A: QUESTION- Find the complementary solution:   (D^3+D)y=x

Q: solve it using long method and method of grouping. (2xy - 9x^2)dx + (2y + x^2 + 1)dy = 0

A: This equation is exact. By using exactness we shall solve it.

Q: solve for      xydy + 2(x^2 +2y^2)dy = 0 when x=0 and y=1

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Q: Find all solutions to the equation (D^2 − 3D + 2)y(x) = 2e^3x.

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