LUse the method of undetermined coefficients to solve dx 5x + 9y + 2 dt dy -x + 11y + 6 dt

Q: exi solve the Disserentail equatione using homogenous method (x₁² + y) dx-xdy -o

A: given differential equation

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

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Q: Solve (5x + 9y) dx + (9x+ 5y) dy

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Q: J 3x - 2 4x² + 4x + 17 dr

A: Breaking the numerator is the key here. After that, break the given function into two parts and then…

Q: f. S r4 dx J2 xV2-2x2 2.

A:

Q: x2 - 4 3 dx

A: The given integral is: I=∫x2-4x3dx

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: (xsinx+2y)dx+xdy= 0

A: The given differential equation is

Q: dx Vx2-16

A: Consider the given information. I=∫x2x2-16dx Put x=sect in the integral. dx=4tan2tdt Simplify the…

Q: a va?-x? a²-x² (x + y) dydx

A: We have to find the value of given intregation.

Q: 7x2 + 15 dx. x2 + x Compute f

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Q: dx XV. xVx2-4

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Q: Vx² - 2x + 3 dx

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Q: dx

A: Our Aim is to integrate the following expression given below:-∫ex(2e2x-4ex-1)dx  -(i)

Q: dx 4. / TV²+ 4x – 4 4х — 4

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Q: / (3x - 3)(3x² - 6x +15)4 dx

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Q: 2y Solve (3x²+2) dx + (2x - 4y) dy=0 e A B 2 2y x+xe D xe ²y = 2y² = C r3+xe ³y – 2y³ = C 3y © x³ +…

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Q: S dx 3x-1 b.

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Q: solve (x? + y) dx + (y³ + x) dy = 0. A yª + x + B + x + y + (c) = C ,3 3/7 3/4

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Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

A:

Q: (2x-3)4 dx 10

A: Given:The integral is

Q: x + 1 -xp- x + 3 x2 + 2x – 3 x2 3 dx ,

A:

Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

A:

Q: S dx 3 2 2X -4X-1) |

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Q: dx Vx4 – 2x² + 1 3,

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.