1.) Find the general solution to the first order differential equation given below. -3x 3xe 2x y' 4y

Q: Find the general solution of the differential equation.

A: given,

Q: xx+24=5x² fpyonbouy of anyos

A: We have xx+24≤5x2 Consider:…

Q: 6. Find the differential equation whose general solution is y=C₁X + Czex, b. a. (x-1) y"-xy' +y=0…

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Q: 2.xy (6) 3. у'%3D x² - y?

A: Given differential equation is y'=2xyx2-y2.

Q: (ii) Show that the differential equation is not exact. (2y² + 3x) dx + 2xydy = 0

A:

Q: Equation: Answer:

A: We want to find value of x. For this we use Pythagoras theorem, which states that Hypotenuse2 =…

Q: 5. Consider the differential equation x' +2tx = 4t. (a) Solve it as a linear differential equation.…

A: Given differential equation is x'+2tx=4t        (1) Solution a: Comparing with linear differential…

Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y 9 + e*

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Q: T B. Find the general solution of the differential equation by using (Variation of Parameters…

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Q: Determine the order and degree of the differential equation 2xy"-3y"+xy=0

A: Given: 2xy'''-3y''+xy=0 To Find: Order and Degree of the given differential equation. Concept: The…

Q: Solve the differential equation (x² + 1)y' + 2xry + 2.x = 0 using the method of exact equations

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Q: Identify the degree of each equation that are homogenous. 1.4x-3ху+y? 2. 2x + Vx2 + y² 3. Vx2 – xy

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Q: 9. (x + x* + 2x²y² + y4)dx +y dy = 0; when x = 1,y = 1

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Q: Solve the given differential equation by undetermined coefficients. y'' + 2y' = 2x + 9 - e-2x

A: The objective of the question is to solve the given second order linear differential equation using…

Q: Solve the differential equation using (a) undetermined coefficients and (b) variation of parameters.…

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Q: 6) Find the general solution to the following differential equation: 2xy'+y=2x5/2

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Q: Solve the following differential equations of · yy'+ y´ = x; Linear Differential Equation

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Q: 1) Determine whether the differential equation is exact. If it is exact, then solve it. (x³ + y³) dx…

A: Step 1: Step 2: Step 3: Step 4:

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: Solve the differential equation  y(5)+y=sin(x)

A: Given Differential equation is y5+y=sin(x) This is a linear homogeneous differential equation with…

Q: 3. a) Use the substitution u = -x+3y to solve the differential equation. -x+3y)y'= 1 b) Clearly…

A: After substitutions, separate du and dx.

Q: ) Find solution to the differential equation Vi- 2xy'=3y

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Q: Solve the Bernoulli differential equation 3(1+x²) y = 2xy (y³1)

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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.