dx -(I+ 2x tany) ay co

Q: (c) y?r dy dx 22

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (x²+2x +y) dx +(3x3y-x}dy=o

A:

Q: y" ~2y² + 5y = 4e²x cos2x

A: Solution of the non- homogeneous higher order differential equations.

Q: Activity 3: 1. ſx²dx 2. SVx?dx 3. S(x³+x²)dx 4. SVx*dx 5. fx-2dx 6. S tan?x dx 7. S(1 – cos u)du 8.…

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Q: y = tan(x + y) – 1 %3D

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Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

A:

Q: tan-1 y y² +1 tan-1 y ) dy

A: We’ll answer the second question since the exact one wasn’t specified. Please submit a new question…

Q: (x2 + y2 + x)dx + xydy = 0 %D

A:

Q: 3x (y? + y + cos4y)dydx 3.

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Q: (y cos x + 2xe)dx + (sin x + x²ey – 1)dy = 0

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Q: Exercise: 6 1. (dy/dx)-2y tan x=y² tan²x. Ans. (-1/y) sec² x=c+ (1/2)x tan³x

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Q: J cos 3x cos 4x dx :

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Q: cos²x sinx dy + (y cos³x - 1)dx = 0

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Q: 5. (ex + Iny +) dx +(÷Inx + siny) dy = 0

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Q: y" + 4y – 5y = –260 sin(5x).

A: To solve the given differential equation

Q: dy + (2xy - x√y) dx = 0

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Q: 1 1. (3xy + y²) + (x² + xy) 4/2 = 0 {x³y + x² y² = c} dx ― 2

A: Given differential equation

Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: d dr -x² + e³¹ - tan(x) dy²-sin(y) dy cos(y) +2 d dx -√x+e²

A:

Q: S cos(3x – 2n) cos (x + t) dx

A: We know that, 2cosAcosB=cos(A+B)+cos(A-B) Also, ∫cosxdx=sinx

Q: 1- dX dy (bux> dy 2- dx : 2X Secy 3. (1-x"): - 2Y dy

A: Answer 1 -  As the cube root of 64 is 4, thus open the parentheses of the RHS of the differential…

Q: Intergrate:

A: To evaluate the integral.

Q: STU વપ (y-1) Ty

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Q: S ii) Show the DE is not exact (2y²+3x) dx + 2xydy = 0

A: Solution :

Q: 3 x* cos(3 y) 2 x³ sin(3 y) dx + + 2 x2 ) dy = 0

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Q: Which of the following equations is NOT an exact equation? dy=0 B (xy - cos x)dx + (x² – 1)dy=0 (2x…

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

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.