dy y 5. Solve dx 5(x-2)y2 %3D (х- 2)

Q: Solve for the general solution: (D² + 2D - 8)y = C O y = cle^(4x) + c2e^(-2x) O y = cle^(-4x) +…

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Q: Q4)/ Solve the Following: d²y dy 4x - 6y = x³ + 1 dx² dx

A: See the attachment

Q: Solve (y2 + xy) dx - x2 dy = 0.

A: We have to find out the solution of the given differential equation

Q: Solve the equation (x2+5x2y2)dx+e(x^3)ydy=0

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Q: SOLVE

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Q: Solve xy"- y' - 4x³y = 8x³sin(x²).

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Q: Solve by separating variables (x-4)y dx-x³ (y²-3) dy=0

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Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

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Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

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Q: Solve for d2y/dx2 for x = u2 - 3 and y = 4u3 - 2u

A: Given x=u2-3 and y=4u3-2u. To find d2ydx2. Solution: We have, x=u2-3 Differentiating the given…

Q: colve dx+. y 2х y²-3x² -dy=0 y?

A: Given 2xy3dx+y2-3x2y2dy=0Need to solve

Q: solve y′′+2y′+y=5t^2 using the Method of Undetermined Coefficients

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Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

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Q: Solve the diff eq (ху?+x-2у+3)dx +(x?у — 2х - 2у)dy %3D0

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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: (1+e' )dx +e" (1-)dy = 0 y

A: To find the solution of the below differential equation.

Q: Solve xy'(2y - 1) = y(1 - x)

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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.