Differential Equations — Page 1 — Tinkutara Math Forum

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Question 227855

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Question 227273

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Question 227272

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Question 227250

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Question 227249

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Question 227248

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Solve x(dy/dx)+y=x^3 6/1/2026

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Solve (x^2 +xy)(dy/dx)=xy−y^2 6/1/2026

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Solve (dy/dx)=((x^2 +y^2 )/(xy)) 6/1/2026

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Solve (dy/dx)=((y^2 +xy^2 )/(x^2 y−x^2 )) 6/1/2026

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If y−2x(dy/dx)=x(x+1)y^3 Prove that 4/1/2026 y^2 =((6x)/(2x^3 +3x^2 +A))

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Question 227075

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Question 227074

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σ = ∫_0 ^( ∞) xe^(−x) J_2 (x)dx=?

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Reduce to canonical form: sin^2 (x)(∂^2 u/∂x^2 )+sin^2 (2x)(∂^2 u/(∂x∂y))+cos^2 (x)(∂^2 u/∂y^2 )=0

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Solve the following D.E (a) (dy/dx)+2y=xy^2 (b) (dy/dx)+3(y/x)=2x^4 y^4

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Show that ∫_0 ^1 x^2 (1+x^2 )^(−1) dx=((4−π)/4) Hence by using Simpson^′ s rule find the value of π with eleven ordinates. correct to 4 decimal places

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Question 226732

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Question 224335

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(dy/dx)=((y^6 −2x^2 )/(2xy^5 +x^2 y^2 ))

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Resuelve la ecuacio^ n diferencial [4x^3 y − (e^(xy) /x) + y ln(x) + x ((x − 4))^(1/3) ]dx + [x^4 − (e^(xy) /y) + x ln(x) − x]dy Help ....

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Solve the DE using the method of Frobenius : (1−x^2 )y′′−2xy′+n(n+1)y=0

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find y y^dy = x^dx

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(1+x^4 )y′−x^3 y = x^5 −x^3 +2x+1

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(d^2 y/dx^2 )+y=k−(1/x^2 )−(6/x^4 ) Find y(x) (k is constant).

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Question 218396

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Solve: 5x^2 y′′ + x(1 + x) y′ − y = 0

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find the following differential equation by eliminating the arbritrary constant (1)y=Ae^x +Bcosx (2) xy=Ae^x +Be^(−x) +x^2

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form the differential equation by eliminating the arbritrary constant y^2 =Ax^2 +Bx+C

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form the differential equationfrom the following 1) y=Ae^(3x) +Be^(5x) 2) y^2 =(x−1) 3) c(y+c)^2 +x^3 =0

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((∂xω)/(∂yω))∙(∂e/∂ω)=? x=f(y) ω=g(y) e=h(ω)

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Help me solve this (dy/dx)+(a/y)+b(√x)=0

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Question 213371

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Uhhhh. can you guys solve Partial differantial equation ▽^2 𝛗=0 Cylinderical Laplacian case ▽^2 =(1/ρ)∙((∂ )/∂ρ)(ρ((∂ )/∂ρ))+((1/ρ))^2 (∂^2 /∂φ^2 )+((∂^2 )/∂z^2 ) Spherical Laplacian case ▽^2 =((1/r))^2 ((∂ )/∂r)(r^2 ((∂ )/∂r))+(1/(r^2 sin(θ)))∙((∂ )/∂θ)(sin(θ)((∂ )/∂θ))+(1/(r^2 sin^2 (θ)))∙(∂^2 /∂ϕ^2 )