Category: Differential Equation

Question Number 192345 by Mingma last updated on 15/May/23 Answered by aleks041103 last updated on 15/May/23 $${\int }_0^1(f(1+x)+f(1-x))dx=$$$$=\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left(\mathrm{1}+{x}\right){dx}\:−\:\int_{\mathrm{0}} ^{\:\mathrm{1}} {f}\left(\mathrm{1}−{x}\right){d}\left(−{x}\right)=…

Question Number 126683 by bramlexs22 last updated on 23/Dec/20 $$solve(D^2+a)y=\tan ax$$ Answered by liberty last updated on 23/Dec/20 $$\left(1\right)Homogenoussolution$$$$\:{y}_{{h}} =\:{A}\:\mathrm{cos}\:{ax}\:+\:{B}\:\mathrm{sin}\:{ax}\: \…

Question Number 126620 by fajri last updated on 22/Dec/20 $$\frac{d^{2}y}{dx}-3\frac{dy}{dx}+2y=e^{4t},y\left(0\right)=1,y^{\prime }\left(0\right)=0$$$$solvewithLaplaceTransform!$$ Answered by Olaf last updated on 22/Dec/20 $$\frac{{d}^{\mathrm{2}} {y}}{{dx}^{\mathrm{2}}…

Question Number 126503 by benjo_mathlover last updated on 21/Dec/20 $$solvef{}^{\prime }\left(x\right)=f(x+\frac{\pi }{2})$$ Commented by Dwaipayan Shikari last updated on 21/Dec/20 $$f\left(x\right)=cosx$$ Terms of…

Question Number 126460 by BHOOPENDRA last updated on 20/Dec/20 $${yy}^{″}-{\left(y^{\prime }\right)}^2=0$$ Commented by BHOOPENDRA last updated on 20/Dec/20 $$thanksalotsir$$ Answered by…