6. Which of the following differential equationsis not a linear? a. dt ds +2 = 2t° dy c. dx + 3xy = y² b. dy + (y tan x – sec x)dx = 0 d. (e* + y)dx – dy = 0

Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =…

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Q: Find the particular solution of the following second order differential equation dy dy -2-15y =…

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Q: The following are second order differential equations except. d' A. dy 3D10X dx dx B. dx +5x 7 d'y…

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Q: Which of the following is NOT a separable differential equation? A (xy+y) dr= (x2y² + x² + y²+ 1) dy…

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Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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Q: Match the differential equation dy/dx = e−2x with its slope field.

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Q: Which of the following is a homogeneous differential equation ? O dy + py = qy" dx dy 2x – y dx 3x +…

A: Solution: The objective is to find the which of the following is the homogeneous differential…

Q: Which of the following is an exact differential equation? (6x*2 - y + 3)dx + (3y^2 - x - 2)dy = 0…

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Q: Find the particular solution to the following differential equations given their boundary conditions…

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Q: Q3 /Write Only the (Order and Degree) of the following differential equations a) (d'y/dx³)³ = \(1 +…

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Q: Which of the following is/are the dependent variable/s of the differential equation. ay ax²at vt…

A: Dependent Variable means the value of the variable depend on the value of the other variable

Q: Which of the following differential equations is not homogeneous? A + In- ldy = 0 y sin- B (x² –…

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Q: Find the general solution of the given higher-order differential equation. du, dzu d?u - 2u = 0 dr?…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

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Q: Which of the following is a differential equation with homogeneous coefficient? a) (y² – Vx² + y² )…

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Q: Which of the following differential equations can be solved by separation of variables? A esin 2y dx…

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Q: The following are nonhomogeneous linear differential equations except. A. 2xy" +x'y'-(sin x )y = 2…

A: For any function, y=f(x), x is the independent variable and y is the dependent variable. A linear…

Q: (x – y)dx + (x + y)dy = 0 Ans: In(x² + y?) + 2 arctan = C

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Q: Which of the following is the solution to the differential equation dx dy with the initia condition…

A: Given: To find the solution of the differential equation dydx=x2y with the initial condition y(3)=-2

Q: 3. Which of the following differential equationsis not a hom ogeneous? c. (x + xy) dy – y dx = 0 a.…

A: A differential equation is said to be homogeneous if the combined degree of variables of each term…

Q: 2. For the differential equation d`y dy -8y 8e, find the solution 4. 4 - dt dt a) Using the Method…

A: 2. Given differential equation is 4d2ydt2-4dydt-8y=8e-t A) Using method of variation of parameters…

Q: Which of the following is a linear differential equation? O sin(x)y' + cos(y) = 3x O y - 2y = In(x)…

A: Given that, There are 4 Differential equations , and we cave to find the Linear Differential…

Q: 1. State the order of the following differential equations. Which are linear and nonlinear? dy d²y…

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Q: Which of the following is a linear differential equation? O da-t{1+t²) sec² ædt = 0 O…

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Q: which one of the following is a linear differential equations ? dy + In y = sin 8x dx dy + e9 = cos…

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Q: Which of the following differential equations can be solved by separation of variables? у1+2у)dx -…

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Q: Find the general solution of the given higher-order differential equation. d³u d²u - 2u = 0 + dt3…

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Q: Find the particular solution of the following differential equations with the given condition. 3) dy…

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Q: What is the differential equation of the family of lines whose sum of the intercepts is fixed as k ?…

A: Given:  What is the differential equation of the family of lines whose sum of the intercepts is…

Q: The solution of the differential equation dy +9y=cos 3t di? is y(t) = A sin Bt +(2C)tsin Dt Then…

A: In this question we are given with the differential equation and by solving it we can find the…

Q: Consider the differential equation dy dy +6y=0. dr2 Enter either of the solutions of the auxiliary…

A: Given d2ydx2+5dydx+6y=0

Q: Which of the following differential equation can be solved using separation variables? a. (x-2y)dx +…

A: Topic:- differential equations

Q: 9. Which of the following differential equationsis a linear? a. y' + xy = xy b. dy + ydx = y°e*"dx…

A: From given D.E

Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy…

A: Given : d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy = 0 e) (t/y)dy + (1 + lny)dt = 0 f) (tany - 2)dx +…

Q: Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy…

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Q: Find the general solution of the following linear differential equation:…

A: The given differential equation,     2d4ydx4-3d3ydx3-2d2ydx2=0

Q: Which of the following is NOT a separable differential equation? A(x-2y) dr+ (2r +y)dy=0 B xy dr –…

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Q: Determine the particular solution of the first order linear differential equations dy х°(x + 4)…

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Q: The solution of the differential equation d'y +9y=cos 3t dt? is y(t) = A sin Bt + (2C)tsin Dt Then…

A: According to the given information, it is required to determine the value of constants.

Q: Find a general solution of the given differential equation. d²y dy 2-+ y = e'tan-1t dt2 dt

A: Given differential equation is  d2ydt2-2dydt+y=ettan-1t Associated homogeneous differential equation…

Q: 5. Show that the following differential equations are exact. (b) (2ye* +cos x)dy –(e¯*y² – y sin…

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Q: Which of the following differential equations is seperable? Lütfen birini seçin: A. y' = x³(y – x) +…

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Q: For which of the following differential equations isoclines are the equation of lines passing…

A: In the equation of the form y'=f(x, y), the isoclines are lines in (x, y) plane obtained by setting…

Q: Which of the following differential equationsis not a linear? a. st ds - (2s + t)dt = 0 b. dy + (y…

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Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² +…

A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term…

Q: Which one of the following differential equation is exact? a. 3x² In4ydx + dy = 0 4y 7x In 4ydx + dy…

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Q: Q3 /Write Only the (Order and Degree) of the following differential equations a) (d'y/dx')23 -…

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Q: 2. Verify that the indicated expression is a solution for the given differential Equation dy x3y3 –…

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